77517628640 has 72 divisors (see below), whose sum is σ = 191444206968. Its totient is φ = 29658886400.

The previous prime is 77517628597. The next prime is 77517628673. The reversal of 77517628640 is 4682671577.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 373286 + ... + 542565.

It is an arithmetic number, because the mean of its divisors is an integer number (2658947319).

Almost surely, 2^77517628640 is an apocalyptic number.

It is an amenable number.

77517628640 is an abundant number, since it is smaller than the sum of its proper divisors (113926578328).

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

77517628640 is a wasteful number, since it uses less digits than its factorization.

77517628640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915912 (or 915881 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 53.

The spelling of 77517628640 in words is "seventy-seven billion, five hundred seventeen million, six hundred twenty-eight thousand, six hundred forty".