8390637972 has 72 divisors (see below), whose sum is σ = 21632705640. Its totient is φ = 2741207040.

The previous prime is 8390637967. The next prime is 8390637973. The reversal of 8390637972 is 2797360938.

It can be written as a sum of positive squares in 4 ways, for example, as 3534778116 + 4855859856 = 59454^2 + 69684^2 .

It is a super-3 number, since 3×8390637972³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8390637973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2518804 + ... + 2522132.

It is an arithmetic number, because the mean of its divisors is an integer number (300454245).

Almost surely, 2^8390637972 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 8390637972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10816352820).

8390637972 is an abundant number, since it is smaller than the sum of its proper divisors (13242067668).

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

8390637972 is a wasteful number, since it uses less digits than its factorization.

8390637972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4713 (or 4708 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 8390637972 is about 91600.4256103649. The cubic root of 8390637972 is about 2032.0372320068.

The spelling of 8390637972 in words is "eight billion, three hundred ninety million, six hundred thirty-seven thousand, nine hundred seventy-two".