9973671507600 has 480 divisors, whose sum is σ = 32675352226944. Its totient is φ = 2599785676800.

The previous prime is 9973671507599. The next prime is 9973671507617. The reversal of 9973671507600 is 67051763799.

It is a super-5 number, since 5×9973671507600⁵ (a number of 66 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14732158462 + ... + 14732159138.

Almost surely, 2^{9973671507600} 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 9973671507600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16337676113472).

9973671507600 is an abundant number, since it is smaller than the sum of its proper divisors (22701680719344).

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

9973671507600 is a wasteful number, since it uses less digits than its factorization.

9973671507600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 15002820, while the sum is 60.

The spelling of 9973671507600 in words is "nine trillion, nine hundred seventy-three billion, six hundred seventy-one million, five hundred seven thousand, six hundred".