974684282880 has 896 divisors, whose sum is σ = 4015012478976. Its totient is φ = 195939532800.

The previous prime is 974684282837. The next prime is 974684282881. The reversal of 974684282880 is 88282486479.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×974684282880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (974684282881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 293312899 + ... + 293316221.

Almost surely, 2^974684282880 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 974684282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007506239488).

974684282880 is an abundant number, since it is smaller than the sum of its proper divisors (3040328196096).

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

974684282880 is a wasteful number, since it uses less digits than its factorization.

974684282880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 66.

The spelling of 974684282880 in words is "nine hundred seventy-four billion, six hundred eighty-four million, two hundred eighty-two thousand, eight hundred eighty".