264642365376 has 336 divisors, whose sum is σ = 820535905280. Its totient is φ = 84473487360.

The previous prime is 264642365369. The next prime is 264642365411. The reversal of 264642365376 is 673563246462.

264642365376 is a `hidden beast` number, since 2 + 64 + 6 + 42 + 3 + 6 + 537 + 6 = 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 47 ways as a sum of consecutive naturals, for example, 46762035 + ... + 46767693.

Almost surely, 2^264642365376 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 264642365376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410267952640).

264642365376 is an abundant number, since it is smaller than the sum of its proper divisors (555893539904).

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

264642365376 is an equidigital number, since it uses as much as digits as its factorization.

264642365376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5814 (or 5792 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 54.

The spelling of 264642365376 in words is "two hundred sixty-four billion, six hundred forty-two million, three hundred sixty-five thousand, three hundred seventy-six".