974844823680 has 1920 divisors, whose sum is σ = 4451513053680. Its totient is φ = 201438461952.

The previous prime is 974844823661. The next prime is 974844823691. The reversal of 974844823680 is 86328448479.

974844823680 is a `hidden beast` number, since 9 + 7 + 48 + 4 + 482 + 36 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 141743214144 + 833101609536 = 376488^2 + 912744^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 239 ways as a sum of consecutive naturals, for example, 1750169962 + ... + 1750170518.

Almost surely, 2^974844823680 is an apocalyptic number.

974844823680 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 974844823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225756526840).

974844823680 is an abundant number, since it is smaller than the sum of its proper divisors (3476668230000).

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

974844823680 is a wasteful number, since it uses less digits than its factorization.

974844823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 974844823680 in words is "nine hundred seventy-four billion, eight hundred forty-four million, eight hundred twenty-three thousand, six hundred eighty".