264383054998272 has 1008 divisors, whose sum is σ = 952597526245120. Its totient is φ = 71507299737600.

The previous prime is 264383054998207. The next prime is 264383054998319. The reversal of 264383054998272 is 272899450383462.

264383054998272 is a `hidden beast` number, since 2 + 6 + 4 + 3 + 8 + 3 + 0 + 549 + 9 + 8 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a self number, because there is not a number n which added to its sum of digits gives 264383054998272.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 40234824747 + ... + 40234831317.

Almost surely, 2^{264383054998272} 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 264383054998272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476298763122560).

264383054998272 is an abundant number, since it is smaller than the sum of its proper divisors (688214471246848).

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

264383054998272 is an equidigital number, since it uses as much as digits as its factorization.

264383054998272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8252 (or 8223 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 264383054998272 in words is "two hundred sixty-four trillion, three hundred eighty-three billion, fifty-four million, nine hundred ninety-eight thousand, two hundred seventy-two".