6456481600 has 84 divisors (see below), whose sum is σ = 16399589248. Its totient is φ = 2499264000.

The previous prime is 6456481597. The next prime is 6456481607. The reversal of 6456481600 is 61846546.

It is a happy number.

It is a super-2 number, since 2×6456481600² = 83372309302277120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6456481607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15486 + ... + 114685.

Almost surely, 2^6456481600 is an apocalyptic number.

It is an amenable number.

6456481600 is an abundant number, since it is smaller than the sum of its proper divisors (9943107648).

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

6456481600 is a wasteful number, since it uses less digits than its factorization.

6456481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130224 (or 130209 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 6456481600 is about 80352.2345675589. The cubic root of 6456481600 is about 1862.0813022155.

The spelling of 6456481600 in words is "six billion, four hundred fifty-six million, four hundred eighty-one thousand, six hundred".