77964172468 has 96 divisors (see below), whose sum is σ = 173571390720. Its totient is φ = 29822653440.

The previous prime is 77964172441. The next prime is 77964172493. The reversal of 77964172468 is 86427146977.

77964172468 = 15652² + 15653² + ... + 15963².

It is a super-2 number, since 2×77964172468² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1280280 + ... + 1339792.

It is an arithmetic number, because the mean of its divisors is an integer number (1808035320).

Almost surely, 2^77964172468 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 77964172468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86785695360).

77964172468 is an abundant number, since it is smaller than the sum of its proper divisors (95607218252).

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

77964172468 is a wasteful number, since it uses less digits than its factorization.

77964172468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59657 (or 59655 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 61.

The spelling of 77964172468 in words is "seventy-seven billion, nine hundred sixty-four million, one hundred seventy-two thousand, four hundred sixty-eight".