972348062400 has 2016 divisors, whose sum is σ = 4310448072000. Its totient is φ = 211673088000.

The previous prime is 972348062377. The next prime is 972348062401. The reversal of 972348062400 is 4260843279.

972348062400 is a `hidden beast` number, since 9 + 7 + 234 + 8 + 0 + 6 + 2 + 400 = 666.

972348062400 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 Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (972348062401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2786097426 + ... + 2786097774.

Almost surely, 2^972348062400 is an apocalyptic number.

972348062400 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 972348062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155224036000).

972348062400 is an abundant number, since it is smaller than the sum of its proper divisors (3338100009600).

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

972348062400 is a wasteful number, since it uses less digits than its factorization.

972348062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 972348062400 in words is "nine hundred seventy-two billion, three hundred forty-eight million, sixty-two thousand, four hundred".