8157947616 has 768 divisors, whose sum is σ = 31791513600. Its totient is φ = 1975228416.

The previous prime is 8157947587. The next prime is 8157947617. The reversal of 8157947616 is 6167497518.

8157947616 is a `hidden beast` number, since 8 + 1 + 579 + 4 + 7 + 61 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8157947617) 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, 64235745 + ... + 64235871.

It is an arithmetic number, because the mean of its divisors is an integer number (41395200).

Almost surely, 2^8157947616 is an apocalyptic number.

8157947616 is a gapful number since it is divisible by the number (86) 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 8157947616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15895756800).

8157947616 is an abundant number, since it is smaller than the sum of its proper divisors (23633565984).

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

8157947616 is a wasteful number, since it uses less digits than its factorization.

8157947616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 8157947616 is about 90321.3574742984. The cubic root of 8157947616 is about 2013.0766160502.

The spelling of 8157947616 in words is "eight billion, one hundred fifty-seven million, nine hundred forty-seven thousand, six hundred sixteen".