5636615040 has 640 divisors, whose sum is σ = 23548536000. Its totient is φ = 1284304896.

The previous prime is 5636615027. The next prime is 5636615041. The reversal of 5636615040 is 405166365.

5636615040 is a `hidden beast` number, since 5 + 6 + 36 + 615 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5636614986 and 5636615004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5636615041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17780962 + ... + 17781278.

Almost surely, 2^5636615040 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 5636615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11774268000).

5636615040 is an abundant number, since it is smaller than the sum of its proper divisors (17911920960).

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

5636615040 is an equidigital number, since it uses as much as digits as its factorization.

5636615040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5636615040 is about 75077.3936681342. The cubic root of 5636615040 is about 1779.6699131216.

The spelling of 5636615040 in words is "five billion, six hundred thirty-six million, six hundred fifteen thousand, forty".