10620972720 has 200 divisors, whose sum is σ = 37248690336. Its totient is φ = 2804585472.

The previous prime is 10620972701. The next prime is 10620972763. The reversal of 10620972720 is 2727902601.

10620972720 is a `hidden beast` number, since 1 + 0 + 620 + 9 + 7 + 2 + 7 + 20 = 666.

10620972720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10620972720² (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 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, 659484 + ... + 675396.

Almost surely, 2^10620972720 is an apocalyptic number.

10620972720 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 10620972720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18624345168).

10620972720 is an abundant number, since it is smaller than the sum of its proper divisors (26627717616).

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

10620972720 is a wasteful number, since it uses less digits than its factorization.

10620972720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16041 (or 16026 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

It can be divided in two parts, 106209 and 72720, that added together give a square (178929 = 423²).

The spelling of 10620972720 in words is "ten billion, six hundred twenty million, nine hundred seventy-two thousand, seven hundred twenty".