7680191904 has 576 divisors, whose sum is σ = 28742418432. Its totient is φ = 1959552000.

The previous prime is 7680191879. The next prime is 7680191923. The reversal of 7680191904 is 4091910867.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 7680191904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60473889 + ... + 60474015.

It is an arithmetic number, because the mean of its divisors is an integer number (49900032).

Almost surely, 2^7680191904 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 7680191904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14371209216).

7680191904 is an abundant number, since it is smaller than the sum of its proper divisors (21062226528).

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

7680191904 is a wasteful number, since it uses less digits than its factorization.

7680191904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 7680191904 is about 87636.7040913794. The cubic root of 7680191904 is about 1972.9860925206.

The spelling of 7680191904 in words is "seven billion, six hundred eighty million, one hundred ninety-one thousand, nine hundred four".