6077468160 has 480 divisors, whose sum is σ = 22224863232. Its totient is φ = 1532805120.

The previous prime is 6077468119. The next prime is 6077468209. The reversal of 6077468160 is 618647706.

6077468160 is a `hidden beast` number, since 60 + 77 + 468 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47854017 + ... + 47854143.

Almost surely, 2^6077468160 is an apocalyptic number.

6077468160 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 6077468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11112431616).

6077468160 is an abundant number, since it is smaller than the sum of its proper divisors (16147395072).

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

6077468160 is a wasteful number, since it uses less digits than its factorization.

6077468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 6077468160 is about 77958.1179865189. The cubic root of 6077468160 is about 1824.9076738181.

The spelling of 6077468160 in words is "six billion, seventy-seven million, four hundred sixty-eight thousand, one hundred sixty".