264661258680 has 512 divisors, whose sum is σ = 1102023014400. Its totient is φ = 55005806592.

The previous prime is 264661258663. The next prime is 264661258721. The reversal of 264661258680 is 86852166462.

264661258680 is a `hidden beast` number, since 2 + 6 + 46 + 6 + 12 + 586 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6564664 + ... + 6604856.

It is an arithmetic number, because the mean of its divisors is an integer number (2152388700).

Almost surely, 2^264661258680 is an apocalyptic number.

264661258680 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 264661258680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551011507200).

264661258680 is an abundant number, since it is smaller than the sum of its proper divisors (837361755720).

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

264661258680 is a wasteful number, since it uses less digits than its factorization.

264661258680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40300 (or 40290 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 264661258680 in words is "two hundred sixty-four billion, six hundred sixty-one million, two hundred fifty-eight thousand, six hundred eighty".