30829040640 has 528 divisors, whose sum is σ = 112660329600. Its totient is φ = 8082063360.

The previous prime is 30829040639. The next prime is 30829040647. The reversal of 30829040640 is 4604092803.

It is a happy number.

30829040640 is a `hidden beast` number, since 3 + 0 + 8 + 2 + 9 + 0 + 4 + 0 + 640 = 666.

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 = 30829040595 and 30829040604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30829040647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88335186 + ... + 88335534.

Almost surely, 2^30829040640 is an apocalyptic number.

30829040640 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 30829040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56330164800).

30829040640 is an abundant number, since it is smaller than the sum of its proper divisors (81831288960).

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

30829040640 is an equidigital number, since it uses as much as digits as its factorization.

30829040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 430 counting only the distinct ones).

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

The spelling of 30829040640 in words is "thirty billion, eight hundred twenty-nine million, forty thousand, six hundred forty".