5632608240 has 640 divisors, whose sum is σ = 23381360640. Its totient is φ = 1219276800.

The previous prime is 5632608211. The next prime is 5632608269. The reversal of 5632608240 is 428062365.

5632608240 is a `hidden beast` number, since 5 + 6 + 3 + 2 + 608 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5632608211) and next prime (5632608269).

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 = 5632608195 and 5632608204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28591822 + ... + 28592018.

It is an arithmetic number, because the mean of its divisors is an integer number (36533376).

Almost surely, 2^5632608240 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 5632608240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11690680320).

5632608240 is an abundant number, since it is smaller than the sum of its proper divisors (17748752400).

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

5632608240 is a wasteful number, since it uses less digits than its factorization.

5632608240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5632608240 is about 75050.7044603846. The cubic root of 5632608240 is about 1779.2481190917.

The spelling of 5632608240 in words is "five billion, six hundred thirty-two million, six hundred eight thousand, two hundred forty".