6874610400 has 576 divisors, whose sum is σ = 29923084800. Its totient is φ = 1488015360.

The previous prime is 6874610383. The next prime is 6874610411. The reversal of 6874610400 is 40164786.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2871604 + ... + 2873996.

It is an arithmetic number, because the mean of its divisors is an integer number (51949800).

Almost surely, 2^6874610400 is an apocalyptic number.

6874610400 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 6874610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14961542400).

6874610400 is an abundant number, since it is smaller than the sum of its proper divisors (23048474400).

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

6874610400 is a wasteful number, since it uses less digits than its factorization.

6874610400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6874610400 is about 82913.2703492028. The cubic root of 6874610400 is about 1901.4403113924.

The spelling of 6874610400 in words is "six billion, eight hundred seventy-four million, six hundred ten thousand, four hundred".