972506446080 has 1152 divisors, whose sum is σ = 3655229276160.
Its totient is φ = 218388234240.
The previous prime is 972506446069. The next prime is 972506446139. The reversal of 972506446080 is 80644605279.
It is an unprimeable number.
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 127 ways as a sum of consecutive naturals, for example, 3167773287 + ... + 3167773593.
It is an arithmetic number, because the mean of its divisors is an integer number (3172942080).
Almost surely, 2972506446080 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 972506446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827614638080).
972506446080 is an abundant number, since it is smaller than the sum of its proper divisors (2682722830080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
972506446080 is a wasteful number, since it uses less digits than its factorization.
972506446080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 487 (or 473 counting only the distinct ones).
The product of its (nonzero) digits is 2903040, while the sum is 51.
The spelling of 972506446080 in words is "nine hundred seventy-two billion, five hundred six million, four hundred forty-six thousand, eighty".