18829530720 has 576 divisors, whose sum is σ = 86280090624. Its totient is φ = 3611381760.

The previous prime is 18829530703. The next prime is 18829530737. The reversal of 18829530720 is 2703592881.

It is a happy number.

18829530720 is a `hidden beast` number, since 18 + 82 + 9 + 530 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (18829530703) and next prime (18829530737).

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 95 ways as a sum of consecutive naturals, for example, 1434909 + ... + 1447971.

It is an arithmetic number, because the mean of its divisors is an integer number (149791824).

Almost surely, 2^18829530720 is an apocalyptic number.

18829530720 is a gapful number since it is divisible by the number (10) 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 18829530720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43140045312).

18829530720 is an abundant number, since it is smaller than the sum of its proper divisors (67450559904).

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

18829530720 is a wasteful number, since it uses less digits than its factorization.

18829530720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13115 (or 13104 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 18829530720 in words is "eighteen billion, eight hundred twenty-nine million, five hundred thirty thousand, seven hundred twenty".