464064234660 has 288 divisors, whose sum is σ = 1529585497440. Its totient is φ = 113206173696.

The previous prime is 464064234659. The next prime is 464064234671. The reversal of 464064234660 is 66432460464.

464064234660 is a `hidden beast` number, since 4 + 6 + 406 + 4 + 234 + 6 + 6 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 417055056804 + 47009177856 = 645798^2 + 216816^2 .

It is a super-2 number, since 2×464064234660² (a number of 24 digits) contains 22 as substring.

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, 324746826 + ... + 324748254.

It is an arithmetic number, because the mean of its divisors is an integer number (5311060755).

Almost surely, 2^464064234660 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 464064234660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764792748720).

464064234660 is an abundant number, since it is smaller than the sum of its proper divisors (1065521262780).

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

464064234660 is a wasteful number, since it uses less digits than its factorization.

464064234660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 464064234660 in words is "four hundred sixty-four billion, sixty-four million, two hundred thirty-four thousand, six hundred sixty".