30798243840 has 768 divisors, whose sum is σ = 126804787200. Its totient is φ = 6202589184.

The previous prime is 30798243821. The next prime is 30798243871. The reversal of 30798243840 is 4834289703.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 30798243840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64296721 + ... + 64297199.

It is an arithmetic number, because the mean of its divisors is an integer number (165110400).

Almost surely, 2^30798243840 is an apocalyptic number.

30798243840 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 30798243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63402393600).

30798243840 is an abundant number, since it is smaller than the sum of its proper divisors (96006543360).

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

30798243840 is a wasteful number, since it uses less digits than its factorization.

30798243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 30798243840 in words is "thirty billion, seven hundred ninety-eight million, two hundred forty-three thousand, eight hundred forty".