6456260160 has 672 divisors, whose sum is σ = 26600700672. Its totient is φ = 1406730240.

The previous prime is 6456260159. The next prime is 6456260171. The reversal of 6456260160 is 610626546.

It is a happy number.

6456260160 is a `hidden beast` number, since 6 + 45 + 6 + 2 + 601 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60338827 + ... + 60338933.

It is an arithmetic number, because the mean of its divisors is an integer number (39584376).

Almost surely, 2^6456260160 is an apocalyptic number.

6456260160 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 6456260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13300350336).

6456260160 is an abundant number, since it is smaller than the sum of its proper divisors (20144440512).

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

6456260160 is a wasteful number, since it uses less digits than its factorization.

6456260160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6456260160 is about 80350.8566226895. The cubic root of 6456260160 is about 1862.0600138409.

The spelling of 6456260160 in words is "six billion, four hundred fifty-six million, two hundred sixty thousand, one hundred sixty".