6101078256 has 480 divisors, whose sum is σ = 22670548992. Its totient is φ = 1487185920.

The previous prime is 6101078219. The next prime is 6101078299. The reversal of 6101078256 is 6528701016.

6101078256 is a `hidden beast` number, since 610 + 10 + 7 + 8 + 25 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6101078256.

It is a congruent number.

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, 9342826 + ... + 9343478.

Almost surely, 2^6101078256 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 6101078256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11335274496).

6101078256 is an abundant number, since it is smaller than the sum of its proper divisors (16569470736).

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

6101078256 is a wasteful number, since it uses less digits than its factorization.

6101078256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 6101078256 is about 78109.3992807524. The cubic root of 6101078256 is about 1827.2677887930.

The spelling of 6101078256 in words is "six billion, one hundred one million, seventy-eight thousand, two hundred fifty-six".