973072611504 has 320 divisors, whose sum is σ = 3355222394880. Its totient is φ = 263989186560.

The previous prime is 973072611503. The next prime is 973072611529. The reversal of 973072611504 is 405116270379.

973072611504 is a `hidden beast` number, since 9 + 73 + 0 + 72 + 6 + 1 + 1 + 504 = 666.

973072611504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 973072611504.

It is not an unprimeable number, because it can be changed into a prime (973072611503) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9477564 + ... + 9579684.

It is an arithmetic number, because the mean of its divisors is an integer number (10485069984).

Almost surely, 2^973072611504 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 973072611504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677611197440).

973072611504 is an abundant number, since it is smaller than the sum of its proper divisors (2382149783376).

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

973072611504 is a wasteful number, since it uses less digits than its factorization.

973072611504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102305 (or 102293 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 973072611504 in words is "nine hundred seventy-three billion, seventy-two million, six hundred eleven thousand, five hundred four".