644034653152 has 192 divisors, whose sum is σ = 1513122508800. Its totient is φ = 266853888000.

The previous prime is 644034653081. The next prime is 644034653201. The reversal of 644034653152 is 251356430446.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 644034653099 and 644034653108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12949549 + ... + 12999187.

It is an arithmetic number, because the mean of its divisors is an integer number (7880846400).

Almost surely, 2^644034653152 is an apocalyptic number.

644034653152 is a gapful number since it is divisible by the number (62) 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 644034653152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756561254400).

644034653152 is an abundant number, since it is smaller than the sum of its proper divisors (869087855648).

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

644034653152 is a wasteful number, since it uses less digits than its factorization.

644034653152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49761 (or 49753 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 43.

The spelling of 644034653152 in words is "six hundred forty-four billion, thirty-four million, six hundred fifty-three thousand, one hundred fifty-two".