972329904000 has 768 divisors, whose sum is σ = 4297756095360. Its totient is φ = 205148160000.

The previous prime is 972329903981. The next prime is 972329904011. The reversal of 972329904000 is 409923279.

972329904000 is a `hidden beast` number, since 9 + 7 + 232 + 9 + 9 + 0 + 400 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13066900 + ... + 13141100.

Almost surely, 2^972329904000 is an apocalyptic number.

972329904000 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 972329904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148878047680).

972329904000 is an abundant number, since it is smaller than the sum of its proper divisors (3325426191360).

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

972329904000 is a wasteful number, since it uses less digits than its factorization.

972329904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74256 (or 74231 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 972329904000 in words is "nine hundred seventy-two billion, three hundred twenty-nine million, nine hundred four thousand".