6874667400 has 288 divisors, whose sum is σ = 23827983840. Its totient is φ = 1633720320.

The previous prime is 6874667369. The next prime is 6874667473. The reversal of 6874667400 is 47664786.

It is a happy number.

It is a super-2 number, since 2×6874667400² = 94522103721245520000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6874667400.

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, 3681267 + ... + 3683133.

It is an arithmetic number, because the mean of its divisors is an integer number (82736055).

Almost surely, 2^6874667400 is an apocalyptic number.

6874667400 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 6874667400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11913991920).

6874667400 is an abundant number, since it is smaller than the sum of its proper divisors (16953316440).

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

6874667400 is a wasteful number, since it uses less digits than its factorization.

6874667400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The square root of 6874667400 is about 82913.6140811628. The cubic root of 6874667400 is about 1901.4455665653.

The spelling of 6874667400 in words is "six billion, eight hundred seventy-four million, six hundred sixty-seven thousand, four hundred".