6157665360 has 1200 divisors, whose sum is σ = 28448304192. Its totient is φ = 1219276800.

The previous prime is 6157665347. The next prime is 6157665361. The reversal of 6157665360 is 635667516.

6157665360 is a `hidden beast` number, since 6 + 1 + 57 + 66 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6157665361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 143201499 + ... + 143201541.

Almost surely, 2^6157665360 is an apocalyptic number.

6157665360 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 6157665360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14224152096).

6157665360 is an abundant number, since it is smaller than the sum of its proper divisors (22290638832).

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

6157665360 is a wasteful number, since it uses less digits than its factorization.

6157665360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 6157665360 is about 78470.7930379195. The cubic root of 6157665360 is about 1832.8996760165.

It can be divided in two parts, 615766 and 5360, that added together give a palindrome (621126).

The spelling of 6157665360 in words is "six billion, one hundred fifty-seven million, six hundred sixty-five thousand, three hundred sixty".