8157947400 has 216 divisors, whose sum is σ = 28453972170. Its totient is φ = 2175102720.

The previous prime is 8157947363. The next prime is 8157947411. The reversal of 8157947400 is 47497518.

It is a happy number.

8157947400 is a `hidden beast` number, since 8 + 1 + 579 + 4 + 74 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6852859524 + 1305087876 = 82782^2 + 36126^2 .

It is a tau number, because it is divible by the number of its divisors (216).

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1309092 + ... + 1315308.

Almost surely, 2^8157947400 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 8157947400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14226986085).

8157947400 is an abundant number, since it is smaller than the sum of its proper divisors (20296024770).

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

8157947400 is an equidigital number, since it uses as much as digits as its factorization.

8157947400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6257 (or 6227 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 8157947400 is about 90321.3562785679. The cubic root of 8157947400 is about 2013.0765982833.

The spelling of 8157947400 in words is "eight billion, one hundred fifty-seven million, nine hundred forty-seven thousand, four hundred".