20346543360 has 1152 divisors, whose sum is σ = 89007206400. Its totient is φ = 4330782720.

The previous prime is 20346543307. The next prime is 20346543367. The reversal of 20346543360 is 6334564302.

20346543360 is a `hidden beast` number, since 20 + 34 + 6 + 543 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20346543367) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113667751 + ... + 113667929.

It is an arithmetic number, because the mean of its divisors is an integer number (77263200).

Almost surely, 2^20346543360 is an apocalyptic number.

20346543360 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 20346543360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44503603200).

20346543360 is an abundant number, since it is smaller than the sum of its proper divisors (68660663040).

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

20346543360 is a wasteful number, since it uses less digits than its factorization.

20346543360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 20346543360 in words is "twenty billion, three hundred forty-six million, five hundred forty-three thousand, three hundred sixty".