464313568320 has 672 divisors, whose sum is σ = 1900425366528. Its totient is φ = 101833998336.

The previous prime is 464313568307. The next prime is 464313568349. The reversal of 464313568320 is 23865313464.

464313568320 is a `hidden beast` number, since 4 + 6 + 4 + 313 + 5 + 6 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54447897 + ... + 54456423.

Almost surely, 2^464313568320 is an apocalyptic number.

464313568320 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 464313568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950212683264).

464313568320 is an abundant number, since it is smaller than the sum of its proper divisors (1436111798208).

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

464313568320 is a wasteful number, since it uses less digits than its factorization.

464313568320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8667 (or 8654 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 464313568320 in words is "four hundred sixty-four billion, three hundred thirteen million, five hundred sixty-eight thousand, three hundred twenty".