6874080323904 has 280 divisors, whose sum is σ = 21599609328000. Its totient is φ = 2154171469824.

The previous prime is 6874080323881. The next prime is 6874080323923. The reversal of 6874080323904 is 4093230804786.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79889097 + ... + 79975095.

Almost surely, 2^{6874080323904} is an apocalyptic number.

6874080323904 is a gapful number since it is divisible by the number (64) 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 6874080323904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10799804664000).

6874080323904 is an abundant number, since it is smaller than the sum of its proper divisors (14725529004096).

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

6874080323904 is a wasteful number, since it uses less digits than its factorization.

6874080323904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86947 (or 86928 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 6874080323904 in words is "six trillion, eight hundred seventy-four billion, eighty million, three hundred twenty-three thousand, nine hundred four".