6307439040 has 672 divisors, whose sum is σ = 26414309376. Its totient is φ = 1350328320.

The previous prime is 6307439023. The next prime is 6307439041. The reversal of 6307439040 is 409347036.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×6307439040² = 79567574486632243200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6307438986 and 6307439004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6307439041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28284369 + ... + 28284591.

It is an arithmetic number, because the mean of its divisors is an integer number (39307008).

Almost surely, 2^6307439040 is an apocalyptic number.

6307439040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6307439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13207154688).

6307439040 is an abundant number, since it is smaller than the sum of its proper divisors (20106870336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6307439040 is a wasteful number, since it uses less digits than its factorization.

6307439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 6307439040 is about 79419.3870537918. The cubic root of 6307439040 is about 1847.6414101554.

The spelling of 6307439040 in words is "six billion, three hundred seven million, four hundred thirty-nine thousand, forty".