974098073828880 has 2880 divisors, whose sum is σ = 4648273366464000. Its totient is φ = 179485348331520.

The previous prime is 974098073828861. The next prime is 974098073828881. The reversal of 974098073828880 is 88828370890479.

974098073828880 is a `hidden beast` number, since 9 + 7 + 4 + 0 + 9 + 80 + 7 + 382 + 88 + 80 = 666.

It is a super-3 number, since 3×974098073828880³ (a number of 46 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 974098073828880.

It is not an unprimeable number, because it can be changed into a prime (974098073828881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 29114909112 + ... + 29114942568.

It is an arithmetic number, because the mean of its divisors is an integer number (1613983807800).

Almost surely, 2^{974098073828880} is an apocalyptic number.

974098073828880 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 974098073828880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324136683232000).

974098073828880 is an abundant number, since it is smaller than the sum of its proper divisors (3674175292635120).

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

974098073828880 is a wasteful number, since it uses less digits than its factorization.

974098073828880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33742 (or 33726 counting only the distinct ones).

The product of its (nonzero) digits is 3121348608, while the sum is 81.

The spelling of 974098073828880 in words is "nine hundred seventy-four trillion, ninety-eight billion, seventy-three million, eight hundred twenty-eight thousand, eight hundred eighty".