5618496960 has 420 divisors, whose sum is σ = 20742868344. Its totient is φ = 1442810880.

The previous prime is 5618496959. The next prime is 5618496967. The reversal of 5618496960 is 696948165.

It is a happy number.

5618496960 is a `hidden beast` number, since 5 + 61 + 8 + 496 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5618496897 and 5618496906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5618496967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 79133725 + ... + 79133795.

Almost surely, 2^5618496960 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 5618496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10371434172).

5618496960 is an abundant number, since it is smaller than the sum of its proper divisors (15124371384).

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

5618496960 is an equidigital number, since it uses as much as digits as its factorization.

5618496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 5618496960 is about 74956.6338625208. The cubic root of 5618496960 is about 1777.7610362775.

The spelling of 5618496960 in words is "five billion, six hundred eighteen million, four hundred ninety-six thousand, nine hundred sixty".