993721600872 has 2688 divisors, whose sum is σ = 4329413222400. Its totient is φ = 205584998400.

The previous prime is 993721600849. The next prime is 993721600901. The reversal of 993721600872 is 278006127399.

993721600872 is a `hidden beast` number, since 9 + 9 + 3 + 7 + 21 + 600 + 8 + 7 + 2 = 666.

It is a super-2 number, since 2×993721600872² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 32055535497 + ... + 32055535527.

It is an arithmetic number, because the mean of its divisors is an integer number (1610644800).

Almost surely, 2^993721600872 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 993721600872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164706611200).

993721600872 is an abundant number, since it is smaller than the sum of its proper divisors (3335691621528).

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

993721600872 is a wasteful number, since it uses less digits than its factorization.

993721600872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 993721600872 in words is "nine hundred ninety-three billion, seven hundred twenty-one million, six hundred thousand, eight hundred seventy-two".