10062990720 has 512 divisors, whose sum is σ = 37806912000. Its totient is φ = 2525257728.

The previous prime is 10062990709. The next prime is 10062990733. The reversal of 10062990720 is 2709926001.

10062990720 is a `hidden beast` number, since 1 + 0 + 0 + 629 + 9 + 0 + 7 + 20 = 666.

It is a super-2 number, since 2×10062990720² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21547927 + ... + 21548393.

It is an arithmetic number, because the mean of its divisors is an integer number (73841625).

Almost surely, 2^10062990720 is an apocalyptic number.

10062990720 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 10062990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18903456000).

10062990720 is an abundant number, since it is smaller than the sum of its proper divisors (27743921280).

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

10062990720 is a wasteful number, since it uses less digits than its factorization.

10062990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 10062990720 in words is "ten billion, sixty-two million, nine hundred ninety thousand, seven hundred twenty".