644512481280 has 672 divisors, whose sum is σ = 2385718977600. Its totient is φ = 164886478848.

The previous prime is 644512481243. The next prime is 644512481303. The reversal of 644512481280 is 82184215446.

644512481280 is a `hidden beast` number, since 6 + 4 + 4 + 512 + 4 + 8 + 128 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4105174962 + ... + 4105175118.

It is an arithmetic number, because the mean of its divisors is an integer number (3550177050).

Almost surely, 2^644512481280 is an apocalyptic number.

644512481280 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 644512481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192859488800).

644512481280 is an abundant number, since it is smaller than the sum of its proper divisors (1741206496320).

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

644512481280 is an frugal number, since it uses more digits than its factorization.

644512481280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 644512481280 in words is "six hundred forty-four billion, five hundred twelve million, four hundred eighty-one thousand, two hundred eighty".