7873179994944 has 1260 divisors, whose sum is σ = 27300892152996. Its totient is φ = 2240085196800.

The previous prime is 7873179994931. The next prime is 7873179994951. The reversal of 7873179994944 is 4494999713787.

7873179994944 is a `hidden beast` number, since 7 + 8 + 7 + 31 + 7 + 9 + 99 + 494 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5326347020544 + 2546832974400 = 2307888^2 + 1595880^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 22303625872 + ... + 22303626224.

Almost surely, 2^{7873179994944} is an apocalyptic number.

7873179994944 is a gapful number since it is divisible by the number (74) 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 7873179994944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13650446076498).

7873179994944 is an abundant number, since it is smaller than the sum of its proper divisors (19427712158052).

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

7873179994944 is a wasteful number, since it uses less digits than its factorization.

7873179994944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 437 counting only the distinct ones).

The product of its digits is 3456649728, while the sum is 81.

The spelling of 7873179994944 in words is "seven trillion, eight hundred seventy-three billion, one hundred seventy-nine million, nine hundred ninety-four thousand, nine hundred forty-four".