7932487680 has 384 divisors, whose sum is σ = 30380313600. Its totient is φ = 1951727616.

The previous prime is 7932487649. The next prime is 7932487697. The reversal of 7932487680 is 867842397.

7932487680 is a `hidden beast` number, since 79 + 32 + 487 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3593137 + ... + 3595343.

It is an arithmetic number, because the mean of its divisors is an integer number (79115400).

Almost surely, 2^7932487680 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 7932487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15190156800).

7932487680 is an abundant number, since it is smaller than the sum of its proper divisors (22447825920).

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

7932487680 is a wasteful number, since it uses less digits than its factorization.

7932487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 7932487680 is about 89064.5141456461. The cubic root of 7932487680 is about 1994.3580726269.

The spelling of 7932487680 in words is "seven billion, nine hundred thirty-two million, four hundred eighty-seven thousand, six hundred eighty".