974295967680 has 1120 divisors, whose sum is σ = 4140751988736. Its totient is φ = 212809089024.

The previous prime is 974295967661. The next prime is 974295967693. The reversal of 974295967680 is 86769592479.

974295967680 is a `hidden beast` number, since 9 + 7 + 4 + 29 + 596 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 974295967599 and 974295967608.

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 159 ways as a sum of consecutive naturals, for example, 366688912 + ... + 366691568.

Almost surely, 2^974295967680 is an apocalyptic number.

974295967680 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 974295967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070375994368).

974295967680 is an abundant number, since it is smaller than the sum of its proper divisors (3166456021056).

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

974295967680 is a wasteful number, since it uses less digits than its factorization.

974295967680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 974295967680 in words is "nine hundred seventy-four billion, two hundred ninety-five million, nine hundred sixty-seven thousand, six hundred eighty".