974721876480 has 640 divisors, whose sum is σ = 3788628940800. Its totient is φ = 235572019200.

The previous prime is 974721876451. The next prime is 974721876563. The reversal of 974721876480 is 84678127479.

974721876480 is a `hidden beast` number, since 9 + 7 + 4 + 72 + 1 + 87 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 272953095 + ... + 272956665.

It is an arithmetic number, because the mean of its divisors is an integer number (5919732720).

Almost surely, 2^974721876480 is an apocalyptic number.

974721876480 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 974721876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894314470400).

974721876480 is an abundant number, since it is smaller than the sum of its proper divisors (2813907064320).

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

974721876480 is a wasteful number, since it uses less digits than its factorization.

974721876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3973 (or 3951 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 974721876480 in words is "nine hundred seventy-four billion, seven hundred twenty-one million, eight hundred seventy-six thousand, four hundred eighty".