5618950560 has 360 divisors, whose sum is σ = 20946265956. Its totient is φ = 1418342400.

The previous prime is 5618950529. The next prime is 5618950591. The reversal of 5618950560 is 650598165.

It is a happy number.

5618950560 is a `hidden beast` number, since 5 + 6 + 1 + 89 + 5 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (5618950529) and next prime (5618950591).

It can be written as a sum of positive squares in 2 ways, for example, as 4585456656 + 1033493904 = 67716^2 + 32148^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4677960 + ... + 4679160.

Almost surely, 2^5618950560 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 5618950560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10473132978).

5618950560 is an abundant number, since it is smaller than the sum of its proper divisors (15327315396).

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

5618950560 is a wasteful number, since it uses less digits than its factorization.

5618950560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 5618950560 is about 74959.6595509878. The cubic root of 5618950560 is about 1777.8088765162.

The spelling of 5618950560 in words is "five billion, six hundred eighteen million, nine hundred fifty thousand, five hundred sixty".