6157638144 has 200 divisors, whose sum is σ = 21005479968. Its totient is φ = 1759242240.

The previous prime is 6157638139. The next prime is 6157638163. The reversal of 6157638144 is 4418367516.

6157638144 is a `hidden beast` number, since 6 + 1 + 5 + 7 + 638 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6157638144.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 279699 + ... + 300909.

Almost surely, 2^6157638144 is an apocalyptic number.

6157638144 is a gapful number since it is divisible by the number (64) 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 6157638144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10502739984).

6157638144 is an abundant number, since it is smaller than the sum of its proper divisors (14847841824).

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

6157638144 is an equidigital number, since it uses as much as digits as its factorization.

6157638144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21248 (or 21223 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 6157638144 is about 78470.6196228882. The cubic root of 6157638144 is about 1832.8969756277.

The spelling of 6157638144 in words is "six billion, one hundred fifty-seven million, six hundred thirty-eight thousand, one hundred forty-four".