973998068120 has 512 divisors, whose sum is σ = 2973144268800. Its totient is φ = 278266060800.

The previous prime is 973998068111. The next prime is 973998068143. The reversal of 973998068120 is 21860899379.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 146749442 + ... + 146756078.

It is an arithmetic number, because the mean of its divisors is an integer number (5806922400).

Almost surely, 2^973998068120 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 973998068120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486572134400).

973998068120 is an abundant number, since it is smaller than the sum of its proper divisors (1999146200680).

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

973998068120 is a wasteful number, since it uses less digits than its factorization.

973998068120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6779 (or 6775 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 62.

The spelling of 973998068120 in words is "nine hundred seventy-three billion, nine hundred ninety-eight million, sixty-eight thousand, one hundred twenty".