9973200384 has 320 divisors, whose sum is σ = 35213460480. Its totient is φ = 2724986880.

The previous prime is 9973200373. The next prime is 9973200463. The reversal of 9973200384 is 4830023799.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2223424 + ... + 2227904.

It is an arithmetic number, because the mean of its divisors is an integer number (110042064).

Almost surely, 2^9973200384 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 9973200384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17606730240).

9973200384 is an abundant number, since it is smaller than the sum of its proper divisors (25240260096).

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

9973200384 is a wasteful number, since it uses less digits than its factorization.

9973200384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4538 (or 4516 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 9973200384 is about 99865.9120220709. The cubic root of 9973200384 is about 2152.5083674358.

The spelling of 9973200384 in words is "nine billion, nine hundred seventy-three million, two hundred thousand, three hundred eighty-four".