6456196400 has 120 divisors (see below), whose sum is σ = 16075054464. Its totient is φ = 2489241600.

The previous prime is 6456196399. The next prime is 6456196423. The reversal of 6456196400 is 46916546.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3632312 + ... + 3634088.

Almost surely, 2^6456196400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6456196400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8037527232).

6456196400 is an abundant number, since it is smaller than the sum of its proper divisors (9618858064).

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

6456196400 is a wasteful number, since it uses less digits than its factorization.

6456196400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 6456196400 is about 80350.4598617830. The cubic root of 6456196400 is about 1862.0538841139.

The spelling of 6456196400 in words is "six billion, four hundred fifty-six million, one hundred ninety-six thousand, four hundred".