9973201680 has 160 divisors (see below), whose sum is σ = 36994715520. Its totient is φ = 2454935040.

The previous prime is 9973201663. The next prime is 9973201687. The reversal of 9973201680 is 861023799.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9973201687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149506 + ... + 205665.

It is an arithmetic number, because the mean of its divisors is an integer number (231216972).

Almost surely, 2^9973201680 is an apocalyptic number.

9973201680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9973201680 is an abundant number, since it is smaller than the sum of its proper divisors (27021513840).

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

9973201680 is a wasteful number, since it uses less digits than its factorization.

9973201680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355206 (or 355194 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 9973201680 is about 99865.9185107712. The cubic root of 9973201680 is about 2152.5084606740.

The spelling of 9973201680 in words is "nine billion, nine hundred seventy-three million, two hundred one thousand, six hundred eighty".