973501072800 has 144 divisors (see below), whose sum is σ = 3306517744320. Its totient is φ = 248313303040.

The previous prime is 973501072717. The next prime is 973501072807. The reversal of 973501072800 is 8270105379.

It is not an unprimeable number, because it can be changed into a prime (973501072807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8762745 + ... + 8873144.

It is an arithmetic number, because the mean of its divisors is an integer number (22961928780).

Almost surely, 2^973501072800 is an apocalyptic number.

It is an amenable number.

973501072800 is an abundant number, since it is smaller than the sum of its proper divisors (2333016671520).

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

973501072800 is a wasteful number, since it uses less digits than its factorization.

973501072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17635935 (or 17635922 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 973501072800 in words is "nine hundred seventy-three billion, five hundred one million, seventy-two thousand, eight hundred".