264450970800 has 720 divisors, whose sum is σ = 982854093312. Its totient is φ = 68248396800.

The previous prime is 264450970799. The next prime is 264450970841. The reversal of 264450970800 is 8079054462.

It is a happy number.

264450970800 is a `hidden beast` number, since 2 + 64 + 4 + 509 + 7 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 488818530 + ... + 488819070.

Almost surely, 2^264450970800 is an apocalyptic number.

264450970800 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 264450970800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491427046656).

264450970800 is an abundant number, since it is smaller than the sum of its proper divisors (718403122512).

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

264450970800 is a wasteful number, since it uses less digits than its factorization.

264450970800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 264450970800 in words is "two hundred sixty-four billion, four hundred fifty million, nine hundred seventy thousand, eight hundred".