30492080640 has 600 divisors, whose sum is σ = 127086025572. Its totient is φ = 6967296000.

The previous prime is 30492080629. The next prime is 30492080657. The reversal of 30492080640 is 4608029403.

It is a happy number.

30492080640 is a `hidden beast` number, since 3 + 0 + 4 + 9 + 2 + 0 + 8 + 0 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30409779456 + 82301184 = 174384^2 + 9072^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30492080595 and 30492080604.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10159140 + ... + 10162140.

Almost surely, 2^30492080640 is an apocalyptic number.

30492080640 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 30492080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63543012786).

30492080640 is an abundant number, since it is smaller than the sum of its proper divisors (96593944932).

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

30492080640 is an equidigital number, since it uses as much as digits as its factorization.

30492080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 30492080640 in words is "thirty billion, four hundred ninety-two million, eighty thousand, six hundred forty".