264671971200 has 1920 divisors, whose sum is σ = 1231978440000. Its totient is φ = 55599022080.

The previous prime is 264671971199. The next prime is 264671971217. The reversal of 264671971200 is 2179176462.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1155772686 + ... + 1155772914.

Almost surely, 2^264671971200 is an apocalyptic number.

264671971200 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 264671971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615989220000).

264671971200 is an abundant number, since it is smaller than the sum of its proper divisors (967306468800).

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

264671971200 is a wasteful number, since it uses less digits than its factorization.

264671971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 264671971200 in words is "two hundred sixty-four billion, six hundred seventy-one million, nine hundred seventy-one thousand, two hundred".