264493670400 has 1008 divisors, whose sum is σ = 1049615034624. Its totient is φ = 63323504640.

The previous prime is 264493670387. The next prime is 264493670411. The reversal of 264493670400 is 4076394462.

It is a happy number.

264493670400 is a `hidden beast` number, since 2 + 64 + 493 + 67 + 0 + 40 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 720691017 + ... + 720691383.

Almost surely, 2^264493670400 is an apocalyptic number.

264493670400 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 264493670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524807517312).

264493670400 is an abundant number, since it is smaller than the sum of its proper divisors (785121364224).

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

264493670400 is a wasteful number, since it uses less digits than its factorization.

264493670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 264493670400 in words is "two hundred sixty-four billion, four hundred ninety-three million, six hundred seventy thousand, four hundred".