644012040114630 has 384 divisors, whose sum is σ = 1836461132887680. Its totient is φ = 155288770560000.

The previous prime is 644012040114577. The next prime is 644012040114671. The reversal of 644012040114630 is 36411040210446.

644012040114630 is a `hidden beast` number, since 6 + 4 + 4 + 0 + 1 + 2 + 0 + 4 + 0 + 1 + 14 + 630 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 291013121404 + ... + 291013123616.

It is an arithmetic number, because the mean of its divisors is an integer number (4782450866895).

Almost surely, 2^{644012040114630} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 644012040114630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918230566443840).

644012040114630 is an abundant number, since it is smaller than the sum of its proper divisors (1192449092773050).

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

644012040114630 is a wasteful number, since it uses less digits than its factorization.

644012040114630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4408 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 644012040114630 in words is "six hundred forty-four trillion, twelve billion, forty million, one hundred fourteen thousand, six hundred thirty".