6157836000 has 768 divisors, whose sum is σ = 24379729920. Its totient is φ = 1505433600.

The previous prime is 6157835969. The next prime is 6157836007. The reversal of 6157836000 is 6387516.

6157836000 is a `hidden beast` number, since 615 + 7 + 8 + 36 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6157836007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91907967 + ... + 91908033.

It is an arithmetic number, because the mean of its divisors is an integer number (31744440).

Almost surely, 2^6157836000 is an apocalyptic number.

6157836000 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 6157836000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12189864960).

6157836000 is an abundant number, since it is smaller than the sum of its proper divisors (18221893920).

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

6157836000 is a wasteful number, since it uses less digits than its factorization.

6157836000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6157836000 is about 78471.8803139061. The cubic root of 6157836000 is about 1832.9166068441.

The spelling of 6157836000 in words is "six billion, one hundred fifty-seven million, eight hundred thirty-six thousand".