464677776464 has 160 divisors (see below), whose sum is σ = 1018634303232. Its totient is φ = 203512320000.

The previous prime is 464677776427. The next prime is 464677776491.

It is a happy number.

464677776464 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 464677776394 and 464677776403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 529848794 + ... + 529849670.

Almost surely, 2^464677776464 is an apocalyptic number.

464677776464 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 464677776464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509317151616).

464677776464 is an abundant number, since it is smaller than the sum of its proper divisors (553956526768).

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

464677776464 is a wasteful number, since it uses less digits than its factorization.

464677776464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1759 counting only the distinct ones).

The product of its digits is 796594176, while the sum is 68.

The spelling of 464677776464 in words is "four hundred sixty-four billion, six hundred seventy-seven million, seven hundred seventy-six thousand, four hundred sixty-four".