972668779200 has 336 divisors, whose sum is σ = 3549247074720. Its totient is φ = 259121664000.

The previous prime is 972668779153. The next prime is 972668779211. The reversal of 972668779200 is 2977866279.

972668779200 is a `hidden beast` number, since 97 + 266 + 87 + 7 + 9 + 200 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45824590 + ... + 45845810.

Almost surely, 2^972668779200 is an apocalyptic number.

972668779200 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 972668779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774623537360).

972668779200 is an abundant number, since it is smaller than the sum of its proper divisors (2576578295520).

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

972668779200 is a wasteful number, since it uses less digits than its factorization.

972668779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22313 (or 22292 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 972668779200 in words is "nine hundred seventy-two billion, six hundred sixty-eight million, seven hundred seventy-nine thousand, two hundred".