6442372732446 has 128 divisors (see below), whose sum is σ = 16966933800960. Its totient is φ = 1773541806336.

The previous prime is 6442372732441. The next prime is 6442372732457.

6442372732446 is a `hidden beast` number, since 6 + 44 + 23 + 72 + 73 + 2 + 446 = 666.

6442372732446 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6442372732446² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6442372732392 and 6442372732401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6442372732441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 795511 + ... + 3676626.

It is an arithmetic number, because the mean of its divisors is an integer number (132554170320).

Almost surely, 2^{6442372732446} is an apocalyptic number.

6442372732446 is an abundant number, since it is smaller than the sum of its proper divisors (10524561068514).

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

6442372732446 is a wasteful number, since it uses less digits than its factorization.

6442372732446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4472295 (or 4472289 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 54.

The spelling of 6442372732446 in words is "six trillion, four hundred forty-two billion, three hundred seventy-two million, seven hundred thirty-two thousand, four hundred forty-six".