6456930480 has 1440 divisors, whose sum is σ = 31925956608. Its totient is φ = 1128038400.

The previous prime is 6456930457. The next prime is 6456930619. The reversal of 6456930480 is 840396546.

6456930480 is a `hidden beast` number, since 6 + 4 + 569 + 3 + 0 + 4 + 80 = 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 287 ways as a sum of consecutive naturals, for example, 208288065 + ... + 208288095.

Almost surely, 2^6456930480 is an apocalyptic number.

6456930480 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 6456930480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15962978304).

6456930480 is an abundant number, since it is smaller than the sum of its proper divisors (25469026128).

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

6456930480 is a wasteful number, since it uses less digits than its factorization.

6456930480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6456930480 is about 80355.0277207344. The cubic root of 6456930480 is about 1862.1244542880.

The spelling of 6456930480 in words is "six billion, four hundred fifty-six million, nine hundred thirty thousand, four hundred eighty".