6874541879400 has 1152 divisors, whose sum is σ = 26218627257600. Its totient is φ = 1675181813760.

The previous prime is 6874541879357. The next prime is 6874541879431. The reversal of 6874541879400 is 49781454786.

6874541879400 is a `hidden beast` number, since 6 + 8 + 7 + 4 + 541 + 87 + 9 + 4 + 0 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8353027389 + ... + 8353028211.

It is an arithmetic number, because the mean of its divisors is an integer number (22759225050).

Almost surely, 2^{6874541879400} is an apocalyptic number.

6874541879400 is a gapful number since it is divisible by the number (60) 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 6874541879400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13109313628800).

6874541879400 is an abundant number, since it is smaller than the sum of its proper divisors (19344085378200).

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

6874541879400 is a wasteful number, since it uses less digits than its factorization.

6874541879400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 6874541879400 in words is "six trillion, eight hundred seventy-four billion, five hundred forty-one million, eight hundred seventy-nine thousand, four hundred".