1993976974080 has 1296 divisors, whose sum is σ = 8855516517120. Its totient is φ = 420629594112.

The previous prime is 1993976974079. The next prime is 1993976974153. The reversal of 1993976974080 is 804796793991.

1993976974080 is a `hidden beast` number, since 1 + 99 + 397 + 6 + 9 + 74 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×1993976974080² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 367957611 + ... + 367963029.

Almost surely, 2^{1993976974080} is an apocalyptic number.

1993976974080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1993976974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4427758258560).

1993976974080 is an abundant number, since it is smaller than the sum of its proper divisors (6861539543040).

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

1993976974080 is an equidigital number, since it uses as much as digits as its factorization.

1993976974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5488 (or 5449 counting only the distinct ones).

The product of its (nonzero) digits is 185177664, while the sum is 72.

The spelling of 1993976974080 in words is "one trillion, nine hundred ninety-three billion, nine hundred seventy-six million, nine hundred seventy-four thousand, eighty".