264331615011660 has 432 divisors, whose sum is σ = 955633242930912. Its totient is φ = 58934469888000.

The previous prime is 264331615011647. The next prime is 264331615011757. The reversal of 264331615011660 is 66110516133462.

264331615011660 is a `hidden beast` number, since 2 + 6 + 4 + 331 + 6 + 150 + 1 + 166 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 2112883110 + ... + 2113008210.

It is an arithmetic number, because the mean of its divisors is an integer number (2212113988266).

Almost surely, 2^{264331615011660} is an apocalyptic number.

264331615011660 is a gapful number since it is divisible by the number (20) 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 264331615011660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477816621465456).

264331615011660 is an abundant number, since it is smaller than the sum of its proper divisors (691301627919252).

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

264331615011660 is a wasteful number, since it uses less digits than its factorization.

264331615011660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131014 (or 131002 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 264331615011660 in words is "two hundred sixty-four trillion, three hundred thirty-one billion, six hundred fifteen million, eleven thousand, six hundred sixty".