5625365760 has 720 divisors, whose sum is σ = 24075507456. Its totient is φ = 1226244096.

The previous prime is 5625365749. The next prime is 5625365821. The reversal of 5625365760 is 675635265.

5625365760 is a `hidden beast` number, since 5 + 6 + 2 + 536 + 57 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16692312 + ... + 16692648.

Almost surely, 2^5625365760 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 5625365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12037753728).

5625365760 is an abundant number, since it is smaller than the sum of its proper divisors (18450141696).

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

5625365760 is a wasteful number, since it uses less digits than its factorization.

5625365760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 377 counting only the distinct ones).

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

The square root of 5625365760 is about 75002.4383603627. The cubic root of 5625365760 is about 1778.4851986479.

The spelling of 5625365760 in words is "five billion, six hundred twenty-five million, three hundred sixty-five thousand, seven hundred sixty".