264376958976 has 405 divisors, whose sum is σ = 835107200109. Its totient is φ = 80556982272.

The previous prime is 264376958971. The next prime is 264376958983. The reversal of 264376958976 is 679859673462.

The square root of 264376958976 is 514176.

It is a perfect power (a square), and thus also a powerful number.

264376958976 is a `hidden beast` number, since 2 + 6 + 4 + 37 + 6 + 9 + 589 + 7 + 6 = 666.

264376958976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 39109017600 + 225267941376 = 197760^2 + 474624^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (264376958971) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2566766541 + ... + 2566766643.

Almost surely, 2^264376958976 is an apocalyptic number.

264376958976 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

264376958976 is the 514176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264376958976

264376958976 is an abundant number, since it is smaller than the sum of its proper divisors (570730241133).

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

264376958976 is an equidigital number, since it uses as much as digits as its factorization.

264376958976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 121 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 72.

The spelling of 264376958976 in words is "two hundred sixty-four billion, three hundred seventy-six million, nine hundred fifty-eight thousand, nine hundred seventy-six".