6077465856 has 576 divisors, whose sum is σ = 23625369600. Its totient is φ = 1492992000.

The previous prime is 6077465843. The next prime is 6077465857. The reversal of 6077465856 is 6585647706.

6077465856 is a `hidden beast` number, since 60 + 77 + 465 + 8 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6077465857) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10111956 + ... + 10112556.

Almost surely, 2^6077465856 is an apocalyptic number.

6077465856 is a gapful number since it is divisible by the number (66) 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 6077465856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11812684800).

6077465856 is an abundant number, since it is smaller than the sum of its proper divisors (17547903744).

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

6077465856 is a wasteful number, since it uses less digits than its factorization.

6077465856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The square root of 6077465856 is about 77958.1032093521. The cubic root of 6077465856 is about 1824.9074432074.

The spelling of 6077465856 in words is "six billion, seventy-seven million, four hundred sixty-five thousand, eight hundred fifty-six".