264479947200 has 1344 divisors, whose sum is σ = 1153811865600. Its totient is φ = 57662668800.

The previous prime is 264479947189. The next prime is 264479947213. The reversal of 264479947200 is 2749974462.

264479947200 is a `hidden beast` number, since 2 + 64 + 479 + 94 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 834321442 + ... + 834321758.

Almost surely, 2^264479947200 is an apocalyptic number.

264479947200 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 264479947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576905932800).

264479947200 is an abundant number, since it is smaller than the sum of its proper divisors (889331918400).

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

264479947200 is a wasteful number, since it uses less digits than its factorization.

264479947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 264479947200 in words is "two hundred sixty-four billion, four hundred seventy-nine million, nine hundred forty-seven thousand, two hundred".