6126077160 has 384 divisors, whose sum is σ = 24928300800. Its totient is φ = 1272176640.

The previous prime is 6126077159. The next prime is 6126077201. The reversal of 6126077160 is 617706216.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1239895 + ... + 1244825.

It is an arithmetic number, because the mean of its divisors is an integer number (64917450).

Almost surely, 2^6126077160 is an apocalyptic number.

6126077160 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 6126077160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12464150400).

6126077160 is an abundant number, since it is smaller than the sum of its proper divisors (18802223640).

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

6126077160 is a wasteful number, since it uses less digits than its factorization.

6126077160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5001 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 6126077160 is about 78269.2606327669. The cubic root of 6126077160 is about 1829.7601047175.

The spelling of 6126077160 in words is "six billion, one hundred twenty-six million, seventy-seven thousand, one hundred sixty".