6136428672 has 512 divisors, whose sum is σ = 21056716800. Its totient is φ = 1741824000.

The previous prime is 6136428653. The next prime is 6136428719. The reversal of 6136428672 is 2768246316.

6136428672 is a `hidden beast` number, since 6 + 1 + 364 + 286 + 7 + 2 = 666.

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, 48318273 + ... + 48318399.

It is an arithmetic number, because the mean of its divisors is an integer number (41126400).

Almost surely, 2^6136428672 is an apocalyptic number.

6136428672 is a gapful number since it is divisible by the number (62) 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 6136428672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10528358400).

6136428672 is an abundant number, since it is smaller than the sum of its proper divisors (14920288128).

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

6136428672 is a wasteful number, since it uses less digits than its factorization.

6136428672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 215 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 6136428672 is about 78335.3602915056. The cubic root of 6136428672 is about 1830.7901344751.

The spelling of 6136428672 in words is "six billion, one hundred thirty-six million, four hundred twenty-eight thousand, six hundred seventy-two".