906372972720 has 160 divisors (see below), whose sum is σ = 3132122864640. Its totient is φ = 240911988480.

The previous prime is 906372972683. The next prime is 906372972721. The reversal of 906372972720 is 27279273609.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (906372972721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20296 + ... + 1346535.

It is an arithmetic number, because the mean of its divisors is an integer number (19575767904).

Almost surely, 2^906372972720 is an apocalyptic number.

906372972720 is a gapful number since it is divisible by the number (90) 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 906372972720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566061432320).

906372972720 is an abundant number, since it is smaller than the sum of its proper divisors (2225749891920).

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

906372972720 is a wasteful number, since it uses less digits than its factorization.

906372972720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367160 (or 1367148 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 906372972720 in words is "nine hundred six billion, three hundred seventy-two million, nine hundred seventy-two thousand, seven hundred twenty".