431926776864 has 864 divisors, whose sum is σ = 1515950130240. Its totient is φ = 120462059520.

The previous prime is 431926776821. The next prime is 431926776889. The reversal of 431926776864 is 468677629134.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

Its product of digits (73156608) is a multiple of the sum of its prime factors (756).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 661449562 + ... + 661450214.

It is an arithmetic number, because the mean of its divisors is an integer number (1754571910).

Almost surely, 2^431926776864 is an apocalyptic number.

431926776864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431926776864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757975065120).

431926776864 is an abundant number, since it is smaller than the sum of its proper divisors (1084023353376).

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

431926776864 is a wasteful number, since it uses less digits than its factorization.

431926776864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 725 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 63.

The spelling of 431926776864 in words is "four hundred thirty-one billion, nine hundred twenty-six million, seven hundred seventy-six thousand, eight hundred sixty-four".