973873685952 has 448 divisors, whose sum is σ = 3008803532800. Its totient is φ = 308511866880.

The previous prime is 973873685929. The next prime is 973873685957. The reversal of 973873685952 is 259586378379.

It is a happy number.

973873685952 is a `hidden beast` number, since 97 + 3 + 87 + 368 + 59 + 52 = 666.

973873685952 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973873685957) 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, 1317825999 + ... + 1317826737.

Almost surely, 2^973873685952 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 973873685952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504401766400).

973873685952 is an abundant number, since it is smaller than the sum of its proper divisors (2034929846848).

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

973873685952 is a wasteful number, since it uses less digits than its factorization.

973873685952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1185 counting only the distinct ones).

The product of its digits is 685843200, while the sum is 72.

The spelling of 973873685952 in words is "nine hundred seventy-three billion, eight hundred seventy-three million, six hundred eighty-five thousand, nine hundred fifty-two".