6455945160 has 512 divisors, whose sum is σ = 26276659200. Its totient is φ = 1376317440.

The previous prime is 6455945123. The next prime is 6455945173. The reversal of 6455945160 is 615495546.

6455945160 is a `hidden beast` number, since 6 + 4 + 5 + 594 + 51 + 6 + 0 = 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 127 ways as a sum of consecutive naturals, for example, 24547189 + ... + 24547451.

It is an arithmetic number, because the mean of its divisors is an integer number (51321600).

Almost surely, 2^6455945160 is an apocalyptic number.

6455945160 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 6455945160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13138329600).

6455945160 is an abundant number, since it is smaller than the sum of its proper divisors (19820714040).

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

6455945160 is a wasteful number, since it uses less digits than its factorization.

6455945160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 6455945160 is about 80348.8964454397. The cubic root of 6455945160 is about 1862.0297301354.

The spelling of 6455945160 in words is "six billion, four hundred fifty-five million, nine hundred forty-five thousand, one hundred sixty".