30854960640 has 800 divisors, whose sum is σ = 130833679680. Its totient is φ = 6800080896.

The previous prime is 30854960629. The next prime is 30854960723. The reversal of 30854960640 is 4606945803.

30854960640 is a `hidden beast` number, since 3 + 0 + 8 + 549 + 60 + 6 + 40 = 666.

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, 42093714 + ... + 42094446.

Almost surely, 2^30854960640 is an apocalyptic number.

30854960640 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 30854960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65416839840).

30854960640 is an abundant number, since it is smaller than the sum of its proper divisors (99978719040).

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

30854960640 is an equidigital number, since it uses as much as digits as its factorization.

30854960640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 30854960640 in words is "thirty billion, eight hundred fifty-four million, nine hundred sixty thousand, six hundred forty".