10642867384032 has 144 divisors (see below), whose sum is σ = 32596681309920. Its totient is φ = 3274437067776.

The previous prime is 10642867384027. The next prime is 10642867384033. The reversal of 10642867384032 is 23048376824601.

10642867384032 is a `hidden beast` number, since 106 + 42 + 8 + 67 + 38 + 403 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10642867384032² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10642867384032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10642867384033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44017453 + ... + 44258579.

It is an arithmetic number, because the mean of its divisors is an integer number (226365842430).

Almost surely, 2^{10642867384032} is an apocalyptic number.

10642867384032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10642867384032 is an abundant number, since it is smaller than the sum of its proper divisors (21953813925888).

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

10642867384032 is a wasteful number, since it uses less digits than its factorization.

10642867384032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252945 (or 252934 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 10642867384032 in words is "ten trillion, six hundred forty-two billion, eight hundred sixty-seven million, three hundred eighty-four thousand, thirty-two".