100640346627392 has 336 divisors, whose sum is σ = 243231024206016. Its totient is φ = 40730364518400.

The previous prime is 100640346627389. The next prime is 100640346627413. The reversal of 100640346627392 is 293726643046001.

It is a super-2 number, since 2×100640346627392² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2700068468 + ... + 2700105740.

It is an arithmetic number, because the mean of its divisors is an integer number (723901857756).

Almost surely, 2^{100640346627392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100640346627392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121615512103008).

100640346627392 is an abundant number, since it is smaller than the sum of its proper divisors (142590677578624).

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

100640346627392 is a wasteful number, since it uses less digits than its factorization.

100640346627392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37678 (or 37637 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 53.

The spelling of 100640346627392 in words is "one hundred trillion, six hundred forty billion, three hundred forty-six million, six hundred twenty-seven thousand, three hundred ninety-two".