972020036988 has 648 divisors, whose sum is σ = 3400273946160. Its totient is φ = 231508368000.

The previous prime is 972020036971. The next prime is 972020037031. The reversal of 972020036988 is 889630020279.

It is a happy number.

972020036988 is a `hidden beast` number, since 9 + 72 + 0 + 200 + 369 + 8 + 8 = 666.

972020036988 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×972020036988² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6437218713 + ... + 6437218863.

Almost surely, 2^972020036988 is an apocalyptic number.

972020036988 is a gapful number since it is divisible by the number (98) 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 972020036988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700136973080).

972020036988 is an abundant number, since it is smaller than the sum of its proper divisors (2428253909172).

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

972020036988 is a wasteful number, since it uses less digits than its factorization.

972020036988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 972020036988 in words is "nine hundred seventy-two billion, twenty million, thirty-six thousand, nine hundred eighty-eight".