7607025768 has 256 divisors, whose sum is σ = 21678243840. Its totient is φ = 2212761600.

The previous prime is 7607025703. The next prime is 7607025791. The reversal of 7607025768 is 8675207067.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38614246 + ... + 38614442.

It is an arithmetic number, because the mean of its divisors is an integer number (84680640).

Almost surely, 2^7607025768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7607025768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10839121920).

7607025768 is an abundant number, since it is smaller than the sum of its proper divisors (14071218072).

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

7607025768 is a wasteful number, since it uses less digits than its factorization.

7607025768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The square root of 7607025768 is about 87218.2651054239. The cubic root of 7607025768 is about 1966.7008061232.

The spelling of 7607025768 in words is "seven billion, six hundred seven million, twenty-five thousand, seven hundred sixty-eight".