10642621441635 has 96 divisors (see below), whose sum is σ = 19881607680000. Its totient is φ = 5399860904640.

The previous prime is 10642621441633. The next prime is 10642621441687. The reversal of 10642621441635 is 53614412624601.

10642621441635 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 2 + 6 + 2 + 1 + 4 + 4 + 1 + 635 = 666.

It is not a de Polignac number, because 10642621441635 - 2¹ = 10642621441633 is a prime.

It is a super-2 number, since 2×10642621441635² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10642621441631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6959166 + ... + 8349564.

It is an arithmetic number, because the mean of its divisors is an integer number (207100080000).

Almost surely, 2^{10642621441635} is an apocalyptic number.

10642621441635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10642621441635 is a deficient number, since it is larger than the sum of its proper divisors (9238986238365).

10642621441635 is a wasteful number, since it uses less digits than its factorization.

10642621441635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390534 (or 1390497 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 10642621441635 in words is "ten trillion, six hundred forty-two billion, six hundred twenty-one million, four hundred forty-one thousand, six hundred thirty-five".