6256164960 has 288 divisors, whose sum is σ = 22587102720. Its totient is φ = 1572480000.

The previous prime is 6256164953. The next prime is 6256164977. The reversal of 6256164960 is 694616526.

6256164960 is a `hidden beast` number, since 6 + 25 + 616 + 4 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6866905 + ... + 6867815.

It is an arithmetic number, because the mean of its divisors is an integer number (78427440).

Almost surely, 2^6256164960 is an apocalyptic number.

6256164960 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 6256164960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11293551360).

6256164960 is an abundant number, since it is smaller than the sum of its proper divisors (16330937760).

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

6256164960 is a wasteful number, since it uses less digits than its factorization.

6256164960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 6256164960 is about 79095.9225244892. The cubic root of 6256164960 is about 1842.6212011413.

The spelling of 6256164960 in words is "six billion, two hundred fifty-six million, one hundred sixty-four thousand, nine hundred sixty".