83972404620 has 192 divisors, whose sum is σ = 283400288640. Its totient is φ = 20519018496.

The previous prime is 83972404591. The next prime is 83972404627. The reversal of 83972404620 is 2640427938.

83972404620 is a `hidden beast` number, since 83 + 9 + 72 + 40 + 462 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (83972404627) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 918084 + ... + 1005396.

It is an arithmetic number, because the mean of its divisors is an integer number (1476043170).

Almost surely, 2^83972404620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83972404620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141700144320).

83972404620 is an abundant number, since it is smaller than the sum of its proper divisors (199427884020).

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

83972404620 is a wasteful number, since it uses less digits than its factorization.

83972404620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87481 (or 87473 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 83972404620 in words is "eighty-three billion, nine hundred seventy-two million, four hundred four thousand, six hundred twenty".