20349342720 has 704 divisors, whose sum is σ = 87581468160. Its totient is φ = 4374134784.

The previous prime is 20349342719. The next prime is 20349342781. The reversal of 20349342720 is 2724394302.

It is a happy number.

20349342720 is a `hidden beast` number, since 203 + 4 + 9 + 3 + 427 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16449942 + ... + 16451178.

Almost surely, 2^20349342720 is an apocalyptic number.

20349342720 is a gapful number since it is divisible by the number (20) 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 20349342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43790734080).

20349342720 is an abundant number, since it is smaller than the sum of its proper divisors (67232125440).

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

20349342720 is a wasteful number, since it uses less digits than its factorization.

20349342720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 20349342720 in words is "twenty billion, three hundred forty-nine million, three hundred forty-two thousand, seven hundred twenty".