1973879373312 has 720 divisors, whose sum is σ = 7421689731456. Its totient is φ = 512668569600.

The previous prime is 1973879373299. The next prime is 1973879373373. The reversal of 1973879373312 is 2133739783791.

1973879373312 is a `hidden beast` number, since 1 + 97 + 3 + 87 + 93 + 73 + 312 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1973879373312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105370987 + ... + 105389717.

Almost surely, 2^{1973879373312} is an apocalyptic number.

1973879373312 is a gapful number since it is divisible by the number (12) 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 1973879373312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710844865728).

1973879373312 is an abundant number, since it is smaller than the sum of its proper divisors (5447810358144).

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

1973879373312 is an equidigital number, since it uses as much as digits as its factorization.

1973879373312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18793 (or 18754 counting only the distinct ones).

The product of its digits is 36006768, while the sum is 63.

The spelling of 1973879373312 in words is "one trillion, nine hundred seventy-three billion, eight hundred seventy-nine million, three hundred seventy-three thousand, three hundred twelve".