5610608640 has 768 divisors, whose sum is σ = 24656486400. Its totient is φ = 1178468352.

The previous prime is 5610608639. The next prime is 5610608693. The reversal of 5610608640 is 468060165.

5610608640 is a `hidden beast` number, since 5 + 6 + 1 + 0 + 6 + 0 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×5610608640² = 62957858622485299200, which contains 22 as substring.

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 = 5610608595 and 5610608604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25159569 + ... + 25159791.

It is an arithmetic number, because the mean of its divisors is an integer number (32104800).

Almost surely, 2^5610608640 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 5610608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12328243200).

5610608640 is an abundant number, since it is smaller than the sum of its proper divisors (19045877760).

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

5610608640 is a wasteful number, since it uses less digits than its factorization.

5610608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5610608640 is about 74903.9961550784. The cubic root of 5610608640 is about 1776.9286596864.

The spelling of 5610608640 in words is "five billion, six hundred ten million, six hundred eight thousand, six hundred forty".