6077661312 has 256 divisors, whose sum is σ = 17757792000. Its totient is φ = 1835581440.

The previous prime is 6077661301. The next prime is 6077661319. The reversal of 6077661312 is 2131667706.

It is a super-2 number, since 2×6077661312² = 73875934046763122688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6077661319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15623614 + ... + 15624002.

It is an arithmetic number, because the mean of its divisors is an integer number (69366375).

Almost surely, 2^6077661312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6077661312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8878896000).

6077661312 is an abundant number, since it is smaller than the sum of its proper divisors (11680130688).

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

6077661312 is a wasteful number, since it uses less digits than its factorization.

6077661312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 6077661312 is about 77959.3567957048. The cubic root of 6077661312 is about 1824.9270064757.

The spelling of 6077661312 in words is "six billion, seventy-seven million, six hundred sixty-one thousand, three hundred twelve".