5715629568 has 600 divisors, whose sum is σ = 20150882136. Its totient is φ = 1605795840.

The previous prime is 5715629561. The next prime is 5715629597. The reversal of 5715629568 is 8659265175.

5715629568 is a `hidden beast` number, since 5 + 7 + 1 + 5 + 629 + 5 + 6 + 8 = 666.

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

Its product of digits (4536000) is a multiple of the sum of its prime divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5715629561) 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 59 ways as a sum of consecutive naturals, for example, 85307871 + ... + 85307937.

Almost surely, 2^5715629568 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 5715629568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10075441068).

5715629568 is an abundant number, since it is smaller than the sum of its proper divisors (14435252568).

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

5715629568 is a wasteful number, since it uses less digits than its factorization.

5715629568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 100 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The square root of 5715629568 is about 75601.7828361210. The cubic root of 5715629568 is about 1787.9472080264.

The spelling of 5715629568 in words is "five billion, seven hundred fifteen million, six hundred twenty-nine thousand, five hundred sixty-eight".