27264564900 has 288 divisors, whose sum is σ = 92700316800. Its totient is φ = 6855321600.

The previous prime is 27264564889. The next prime is 27264564923. The reversal of 27264564900 is 946546272.

27264564900 is a `hidden beast` number, since 27 + 2 + 64 + 564 + 9 + 0 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11951760 + ... + 11954040.

It is an arithmetic number, because the mean of its divisors is an integer number (321876100).

Almost surely, 2^27264564900 is an apocalyptic number.

27264564900 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 27264564900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46350158400).

27264564900 is an abundant number, since it is smaller than the sum of its proper divisors (65435751900).

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

27264564900 is a wasteful number, since it uses less digits than its factorization.

27264564900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 27264564900 in words is "twenty-seven billion, two hundred sixty-four million, five hundred sixty-four thousand, nine hundred".