974383770679488 has 2240 divisors, whose sum is σ = 3415551541248000. Its totient is φ = 271988952883200.

The previous prime is 974383770679447. The next prime is 974383770679531. The reversal of 974383770679488 is 884976077383479.

974383770679488 is a `hidden beast` number, since 9 + 7 + 4 + 38 + 37 + 7 + 0 + 67 + 9 + 488 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 974383770679398 and 974383770679407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2570933431683 + ... + 2570933432061.

It is an arithmetic number, because the mean of its divisors is an integer number (1524799795200).

Almost surely, 2^{974383770679488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 974383770679488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707775770624000).

974383770679488 is an abundant number, since it is smaller than the sum of its proper divisors (2441167770568512).

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

974383770679488 is a wasteful number, since it uses less digits than its factorization.

974383770679488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 86032171008, while the sum is 90.

The spelling of 974383770679488 in words is "nine hundred seventy-four trillion, three hundred eighty-three billion, seven hundred seventy million, six hundred seventy-nine thousand, four hundred eighty-eight".