5675625360 has 480 divisors, whose sum is σ = 20905447680. Its totient is φ = 1375875072.

The previous prime is 5675625317. The next prime is 5675625437. The reversal of 5675625360 is 635265765.

5675625360 is a `hidden beast` number, since 5 + 67 + 56 + 2 + 536 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 36150402 + ... + 36150558.

It is an arithmetic number, because the mean of its divisors is an integer number (43553016).

Almost surely, 2^5675625360 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 5675625360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10452723840).

5675625360 is an abundant number, since it is smaller than the sum of its proper divisors (15229822320).

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

5675625360 is a wasteful number, since it uses less digits than its factorization.

5675625360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The square root of 5675625360 is about 75336.7464123584. The cubic root of 5675625360 is about 1783.7661034492.

The spelling of 5675625360 in words is "five billion, six hundred seventy-five million, six hundred twenty-five thousand, three hundred sixty".