6726758400 has 390 divisors, whose sum is σ = 24948246092. Its totient is φ = 1791590400.

The previous prime is 6726758387. The next prime is 6726758561. The reversal of 6726758400 is 48576276.

6726758400 is a `hidden beast` number, since 6 + 7 + 2 + 67 + 584 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8293995 + ... + 8294805.

Almost surely, 2^6726758400 is an apocalyptic number.

6726758400 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 6726758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12474123046).

6726758400 is an abundant number, since it is smaller than the sum of its proper divisors (18221487692).

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

6726758400 is an equidigital number, since it uses as much as digits as its factorization.

6726758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 6726758400 is about 82016.8177875733. The cubic root of 6726758400 is about 1887.7100004642.

The spelling of 6726758400 in words is "six billion, seven hundred twenty-six million, seven hundred fifty-eight thousand, four hundred".