6305994240 has 480 divisors, whose sum is σ = 25274319840. Its totient is φ = 1329463296.

The previous prime is 6305994209. The next prime is 6305994251. The reversal of 6305994240 is 424995036.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6305994192 and 6305994201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4891516 + ... + 4892804.

It is an arithmetic number, because the mean of its divisors is an integer number (52654833).

Almost surely, 2^6305994240 is an apocalyptic number.

6305994240 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 6305994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12637159920).

6305994240 is an abundant number, since it is smaller than the sum of its proper divisors (18968325600).

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

6305994240 is a wasteful number, since it uses less digits than its factorization.

6305994240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 6305994240 is about 79410.2905170356. The cubic root of 6305994240 is about 1847.5003240429.

The spelling of 6305994240 in words is "six billion, three hundred five million, nine hundred ninety-four thousand, two hundred forty".