10642634002620 has 144 divisors (see below), whose sum is σ = 33070847601792. Its totient is φ = 2768893787520.

The previous prime is 10642634002603. The next prime is 10642634002631. The reversal of 10642634002620 is 2620043624601.

10642634002620 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 26 + 3 + 4 + 0 + 0 + 2 + 620 = 666.

It is a super-2 number, since 2×10642634002620² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 6055815 + ... + 7613025.

Almost surely, 2^{10642634002620} is an apocalyptic number.

10642634002620 is a gapful number since it is divisible by the number (10) 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 10642634002620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16535423800896).

10642634002620 is an abundant number, since it is smaller than the sum of its proper divisors (22428213599172).

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

10642634002620 is a wasteful number, since it uses less digits than its factorization.

10642634002620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558152 (or 1558147 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 10642634002620 in words is "ten trillion, six hundred forty-two billion, six hundred thirty-four million, two thousand, six hundred twenty".