77613414528 has 64 divisors (see below), whose sum is σ = 222019156800. Its totient is φ = 23881049088.

The previous prime is 77613414499. The next prime is 77613414533. The reversal of 77613414528 is 82541431677.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×77613414528² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 7768788 + ... + 7778771.

It is an arithmetic number, because the mean of its divisors is an integer number (3469049325).

Almost surely, 2^77613414528 is an apocalyptic number.

77613414528 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

77613414528 is an abundant number, since it is smaller than the sum of its proper divisors (144405742272).

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

77613414528 is a wasteful number, since it uses less digits than its factorization.

77613414528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15547589 (or 15547577 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The spelling of 77613414528 in words is "seventy-seven billion, six hundred thirteen million, four hundred fourteen thousand, five hundred twenty-eight".