7687974560 has 384 divisors, whose sum is σ = 22825152000. Its totient is φ = 2438553600.

The previous prime is 7687974551. The next prime is 7687974607. The reversal of 7687974560 is 654797867.

It is a self number, because there is not a number n which added to its sum of digits gives 7687974560.

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, 76118510 + ... + 76118610.

It is an arithmetic number, because the mean of its divisors is an integer number (59440500).

Almost surely, 2^7687974560 is an apocalyptic number.

7687974560 is a gapful number since it is divisible by the number (70) 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 7687974560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11412576000).

7687974560 is an abundant number, since it is smaller than the sum of its proper divisors (15137177440).

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

7687974560 is a wasteful number, since it uses less digits than its factorization.

7687974560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 59.

The square root of 7687974560 is about 87681.0957960723. The cubic root of 7687974560 is about 1973.6523036656.

The spelling of 7687974560 in words is "seven billion, six hundred eighty-seven million, nine hundred seventy-four thousand, five hundred sixty".