6455344896 has 720 divisors, whose sum is σ = 25927469568. Its totient is φ = 1542758400.

The previous prime is 6455344793. The next prime is 6455344927. The reversal of 6455344896 is 6984435546.

6455344896 is a `hidden beast` number, since 6 + 4 + 553 + 4 + 4 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20756581 + ... + 20756891.

Almost surely, 2^6455344896 is an apocalyptic number.

6455344896 is a gapful number since it is divisible by the number (66) 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 6455344896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12963734784).

6455344896 is an abundant number, since it is smaller than the sum of its proper divisors (19472124672).

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

6455344896 is a wasteful number, since it uses less digits than its factorization.

6455344896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 347 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The square root of 6455344896 is about 80345.1609992786. The cubic root of 6455344896 is about 1861.9720187790.

The spelling of 6455344896 in words is "six billion, four hundred fifty-five million, three hundred forty-four thousand, eight hundred ninety-six".