18729342720 has 576 divisors, whose sum is σ = 76350758400. Its totient is φ = 4299816960.

The previous prime is 18729342707. The next prime is 18729342721. The reversal of 18729342720 is 2724392781.

18729342720 is a `hidden beast` number, since 187 + 29 + 3 + 427 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18729342721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7221744 + ... + 7224336.

It is an arithmetic number, because the mean of its divisors is an integer number (132553400).

Almost surely, 2^18729342720 is an apocalyptic number.

18729342720 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 18729342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38175379200).

18729342720 is an abundant number, since it is smaller than the sum of its proper divisors (57621415680).

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

18729342720 is a wasteful number, since it uses less digits than its factorization.

18729342720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2653 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 18729342720 in words is "eighteen billion, seven hundred twenty-nine million, three hundred forty-two thousand, seven hundred twenty".