464715064320 has 704 divisors, whose sum is σ = 1650040519680. Its totient is φ = 111575433216.

The previous prime is 464715064277. The next prime is 464715064349. The reversal of 464715064320 is 23460517464.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1586058094 + ... + 1586058386.

Almost surely, 2^464715064320 is an apocalyptic number.

464715064320 is a gapful number since it is divisible by the number (40) 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 464715064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825020259840).

464715064320 is an abundant number, since it is smaller than the sum of its proper divisors (1185325455360).

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

464715064320 is a wasteful number, since it uses less digits than its factorization.

464715064320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 464715064320 in words is "four hundred sixty-four billion, seven hundred fifteen million, sixty-four thousand, three hundred twenty".