108764006400 has 648 divisors, whose sum is σ = 453211168410. Its totient is φ = 24855183360.

The previous prime is 108764006347. The next prime is 108764006423. The reversal of 108764006400 is 4600467801.

108764006400 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 6 + 4 + 0 + 0 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 55635600384 + 53128406016 = 235872^2 + 230496^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 22576792 + ... + 22581608.

Almost surely, 2^108764006400 is an apocalyptic number.

108764006400 is a gapful number since it is divisible by the number (10) 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 108764006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226605584205).

108764006400 is an abundant number, since it is smaller than the sum of its proper divisors (344447162010).

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

108764006400 is a wasteful number, since it uses less digits than its factorization.

108764006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4869 (or 4834 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 108764006400 in words is "one hundred eight billion, seven hundred sixty-four million, six thousand, four hundred".