9873609372900 has 729 divisors, whose sum is σ = 39017295411003. Its totient is φ = 2081413152000.

The previous prime is 9873609372883. The next prime is 9873609372937. The reversal of 9873609372900 is 92739063789.

The square root of 9873609372900 is 3142230.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2544937421796 + 7328671951104 = 1595286^2 + 2707152^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 8578287325 + ... + 8578288475.

Almost surely, 2^{9873609372900} is an apocalyptic number.

9873609372900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9873609372900 is the 3142230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9873609372900

9873609372900 is an abundant number, since it is smaller than the sum of its proper divisors (29143686038103).

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

9873609372900 is a wasteful number, since it uses less digits than its factorization.

9873609372900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 9873609372900 in words is "nine trillion, eight hundred seventy-three billion, six hundred nine million, three hundred seventy-two thousand, nine hundred".