30245863680 has 216 divisors, whose sum is σ = 106124316480. Its totient is φ = 7951749120.

The previous prime is 30245863679. The next prime is 30245863723. The reversal of 30245863680 is 8636854203.

It is a happy number.

30245863680 is a `hidden beast` number, since 3 + 0 + 2 + 4 + 5 + 8 + 636 + 8 + 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 23 ways as a sum of consecutive naturals, for example, 799431 + ... + 836409.

It is an arithmetic number, because the mean of its divisors is an integer number (491316280).

Almost surely, 2^30245863680 is an apocalyptic number.

30245863680 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 30245863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53062158240).

30245863680 is an abundant number, since it is smaller than the sum of its proper divisors (75878452800).

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

30245863680 is a wasteful number, since it uses less digits than its factorization.

30245863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37077 (or 37060 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 30245863680 in words is "thirty billion, two hundred forty-five million, eight hundred sixty-three thousand, six hundred eighty".