10022791680 has 480 divisors, whose sum is σ = 38469644928. Its totient is φ = 2391244800.

The previous prime is 10022791679. The next prime is 10022791687. The reversal of 10022791680 is 8619722001.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022791687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17993962 + ... + 17994518.

Almost surely, 2^10022791680 is an apocalyptic number.

10022791680 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 10022791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19234822464).

10022791680 is an abundant number, since it is smaller than the sum of its proper divisors (28446853248).

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

10022791680 is a wasteful number, since it uses less digits than its factorization.

10022791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10022791680 in words is "ten billion, twenty-two million, seven hundred ninety-one thousand, six hundred eighty".