30725775360 has 896 divisors, whose sum is σ = 128966976000. Its totient is φ = 7023034368.

The previous prime is 30725775331. The next prime is 30725775361. The reversal of 30725775360 is 6357752703.

30725775360 is a `hidden beast` number, since 3 + 0 + 72 + 577 + 5 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30725775361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4389396477 + ... + 4389396483.

Almost surely, 2^30725775360 is an apocalyptic number.

30725775360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30725775360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64483488000).

30725775360 is an abundant number, since it is smaller than the sum of its proper divisors (98241200640).

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

30725775360 is an frugal number, since it uses more digits than its factorization.

30725775360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 45.

The spelling of 30725775360 in words is "thirty billion, seven hundred twenty-five million, seven hundred seventy-five thousand, three hundred sixty".