973884764736 has 189 divisors, whose sum is σ = 3023666394489. Its totient is φ = 299562112512.

The previous prime is 973884764729. The next prime is 973884764759. The reversal of 973884764736 is 637467488379.

It is a happy number.

The square root of 973884764736 is 986856.

It is a perfect power (a square), and thus also a powerful number.

973884764736 is a `hidden beast` number, since 9 + 7 + 3 + 8 + 84 + 76 + 473 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 144065793600 + 829818971136 = 379560^2 + 910944^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 307897491 + ... + 307900653.

Almost surely, 2^973884764736 is an apocalyptic number.

973884764736 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

973884764736 is the 986856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973884764736

973884764736 is an abundant number, since it is smaller than the sum of its proper divisors (2049781629753).

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

973884764736 is an equidigital number, since it uses as much as digits as its factorization.

973884764736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6370 (or 3181 counting only the distinct ones).

The product of its digits is 1024192512, while the sum is 72.

The spelling of 973884764736 in words is "nine hundred seventy-three billion, eight hundred eighty-four million, seven hundred sixty-four thousand, seven hundred thirty-six".