102644640000 has 1080 divisors, whose sum is σ = 448259011200. Its totient is φ = 22044672000.

The previous prime is 102644639899. The next prime is 102644640019. The reversal of 102644640000 is 46446201.

102644640000 is a `hidden beast` number, since 10 + 2 + 6 + 4 + 4 + 640 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 171359701 + ... + 171360299.

It is an arithmetic number, because the mean of its divisors is an integer number (415054640).

Almost surely, 2^102644640000 is an apocalyptic number.

102644640000 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 102644640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224129505600).

102644640000 is an abundant number, since it is smaller than the sum of its proper divisors (345614371200).

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

102644640000 is an equidigital number, since it uses as much as digits as its factorization.

102644640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 102644640000 in words is "one hundred two billion, six hundred forty-four million, six hundred forty thousand".