6456038400 has 396 divisors, whose sum is σ = 26424510112. Its totient is φ = 1475297280.

The previous prime is 6456038389. The next prime is 6456038417. The reversal of 6456038400 is 48306546.

6456038400 is a `hidden beast` number, since 6 + 4 + 5 + 603 + 8 + 40 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1610799 + ... + 1614801.

Almost surely, 2^6456038400 is an apocalyptic number.

6456038400 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 6456038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13212255056).

6456038400 is an abundant number, since it is smaller than the sum of its proper divisors (19968471712).

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

6456038400 is a wasteful number, since it uses less digits than its factorization.

6456038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4046 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6456038400 is about 80349.4766628881. The cubic root of 6456038400 is about 1862.0386942149.

The spelling of 6456038400 in words is "six billion, four hundred fifty-six million, thirty-eight thousand, four hundred".