6129776088 has 256 divisors, whose sum is σ = 18778262400. Its totient is φ = 1867732992.

The previous prime is 6129776063. The next prime is 6129776099. The reversal of 6129776088 is 8806779216.

6129776088 is a `hidden beast` number, since 6 + 1 + 29 + 7 + 7 + 608 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11004706 + ... + 11005262.

Almost surely, 2^6129776088 is an apocalyptic number.

6129776088 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 6129776088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9389131200).

6129776088 is an abundant number, since it is smaller than the sum of its proper divisors (12648486312).

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

6129776088 is a wasteful number, since it uses less digits than its factorization.

6129776088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 6129776088 is about 78292.8865734302. The cubic root of 6129776088 is about 1830.1283005989.

The spelling of 6129776088 in words is "six billion, one hundred twenty-nine million, seven hundred seventy-six thousand, eighty-eight".