6714878400 has 336 divisors, whose sum is σ = 25145776480. Its totient is φ = 1741824000.

The previous prime is 6714878393. The next prime is 6714878413. The reversal of 6714878400 is 48784176.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1596300 + ... + 1600500.

Almost surely, 2^6714878400 is an apocalyptic number.

6714878400 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 6714878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12572888240).

6714878400 is an abundant number, since it is smaller than the sum of its proper divisors (18430898080).

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

6714878400 is a wasteful number, since it uses less digits than its factorization.

6714878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4269 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 6714878400 is about 81944.3616120109. The cubic root of 6714878400 is about 1886.5980627134.

The spelling of 6714878400 in words is "six billion, seven hundred fourteen million, eight hundred seventy-eight thousand, four hundred".