972296396280 has 1024 divisors, whose sum is σ = 3859218432000. Its totient is φ = 215277004800.

The previous prime is 972296396273. The next prime is 972296396327. The reversal of 972296396280 is 82693692279.

972296396280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 669164034 + ... + 669165486.

It is an arithmetic number, because the mean of its divisors is an integer number (3768768000).

Almost surely, 2^972296396280 is an apocalyptic number.

972296396280 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 972296396280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929609216000).

972296396280 is an abundant number, since it is smaller than the sum of its proper divisors (2886922035720).

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

972296396280 is a wasteful number, since it uses less digits than its factorization.

972296396280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 972296396280 in words is "nine hundred seventy-two billion, two hundred ninety-six million, three hundred ninety-six thousand, two hundred eighty".