21675790674 has 80 divisors (see below), whose sum is σ = 50194129920. Its totient is φ = 6984169920.

The previous prime is 21675790649. The next prime is 21675790753. The reversal of 21675790674 is 47609757612.

21675790674 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 579 + 0 + 67 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21675790674.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5667927 + ... + 5671749.

It is an arithmetic number, because the mean of its divisors is an integer number (627426624).

Almost surely, 2^21675790674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21675790674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25097064960).

21675790674 is an abundant number, since it is smaller than the sum of its proper divisors (28518339246).

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

21675790674 is a wasteful number, since it uses less digits than its factorization.

21675790674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4997 (or 4988 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 21675790674 in words is "twenty-one billion, six hundred seventy-five million, seven hundred ninety thousand, six hundred seventy-four".