6076617768 has 384 divisors, whose sum is σ = 19725189120. Its totient is φ = 1672151040.

The previous prime is 6076617727. The next prime is 6076617769. The reversal of 6076617768 is 8677166706.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6076617769) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47847321 + ... + 47847447.

It is an arithmetic number, because the mean of its divisors is an integer number (51367680).

Almost surely, 2^6076617768 is an apocalyptic number.

6076617768 is a gapful number since it is divisible by the number (68) 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 6076617768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9862594560).

6076617768 is an abundant number, since it is smaller than the sum of its proper divisors (13648571352).

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

6076617768 is a wasteful number, since it uses less digits than its factorization.

6076617768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 6076617768 is about 77952.6636363377. The cubic root of 6076617768 is about 1824.8225528854.

The spelling of 6076617768 in words is "six billion, seventy-six million, six hundred seventeen thousand, seven hundred sixty-eight".