1879967674368 has 1404 divisors, whose sum is σ = 7065550374840. Its totient is φ = 492448481280.

The previous prime is 1879967674357. The next prime is 1879967674381. The reversal of 1879967674368 is 8634767699781.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1879967674368 is a `hidden beast` number, since 187 + 9 + 9 + 6 + 7 + 6 + 74 + 368 = 666.

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

Its product of digits (4608866304) is a multiple of the sum of its prime factors (147).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 60644118513 + ... + 60644118543.

Almost surely, 2^{1879967674368} is an apocalyptic number.

1879967674368 is a gapful number since it is divisible by the number (18) 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 1879967674368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532775187420).

1879967674368 is an abundant number, since it is smaller than the sum of its proper divisors (5185582700472).

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

1879967674368 is an equidigital number, since it uses as much as digits as its factorization.

1879967674368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 62 counting only the distinct ones).

The product of its digits is 4608866304, while the sum is 81.

The spelling of 1879967674368 in words is "one trillion, eight hundred seventy-nine billion, nine hundred sixty-seven million, six hundred seventy-four thousand, three hundred sixty-eight".