6274039680 has 320 divisors, whose sum is σ = 23018323680. Its totient is φ = 1627361280.

The previous prime is 6274039631. The next prime is 6274039699. The reversal of 6274039680 is 869304726.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1916445 + ... + 1919715.

Almost surely, 2^6274039680 is an apocalyptic number.

6274039680 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 6274039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11509161840).

6274039680 is an abundant number, since it is smaller than the sum of its proper divisors (16744284000).

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

6274039680 is a wasteful number, since it uses less digits than its factorization.

6274039680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6274039680 is about 79208.8358707537. The cubic root of 6274039680 is about 1844.3744061834.

The spelling of 6274039680 in words is "six billion, two hundred seventy-four million, thirty-nine thousand, six hundred eighty".