644300012160 has 1152 divisors, whose sum is σ = 2691928512000. Its totient is φ = 141436108800.

The previous prime is 644300012137. The next prime is 644300012173. The reversal of 644300012160 is 61210003446.

644300012160 is a `hidden beast` number, since 6 + 443 + 0 + 0 + 0 + 1 + 216 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×644300012160² (a number of 24 digits) contains 22 as substring.

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, 1846131666 + ... + 1846132014.

It is an arithmetic number, because the mean of its divisors is an integer number (2336743500).

Almost surely, 2^644300012160 is an apocalyptic number.

644300012160 is a gapful number since it is divisible by the number (60) 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 644300012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345964256000).

644300012160 is an abundant number, since it is smaller than the sum of its proper divisors (2047628499840).

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

644300012160 is a wasteful number, since it uses less digits than its factorization.

644300012160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 644300012160 in words is "six hundred forty-four billion, three hundred million, twelve thousand, one hundred sixty".