5676618240 has 320 divisors, whose sum is σ = 21354347520. Its totient is φ = 1424424960.

The previous prime is 5676618209. The next prime is 5676618251. The reversal of 5676618240 is 428166765.

5676618240 is a `hidden beast` number, since 5 + 6 + 7 + 6 + 618 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1172625 + ... + 1177455.

It is an arithmetic number, because the mean of its divisors is an integer number (66732336).

Almost surely, 2^5676618240 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 5676618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10677173760).

5676618240 is an abundant number, since it is smaller than the sum of its proper divisors (15677729280).

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

5676618240 is a wasteful number, since it uses less digits than its factorization.

5676618240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4880 (or 4858 counting only the distinct ones).

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

The square root of 5676618240 is about 75343.3357371440. The cubic root of 5676618240 is about 1783.8701132755.

The spelling of 5676618240 in words is "five billion, six hundred seventy-six million, six hundred eighteen thousand, two hundred forty".