20346568704000 has 1872 divisors, whose sum is σ = 93090193528176. Its totient is φ = 4227858432000.

The previous prime is 20346568703983. The next prime is 20346568704019. The reversal of 20346568704000 is 40786564302.

20346568704000 is a `hidden beast` number, since 2 + 0 + 3 + 46 + 568 + 7 + 0 + 40 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 1849688063995 + ... + 1849688064005.

It is an arithmetic number, because the mean of its divisors is an integer number (49727667483).

Almost surely, 2^{20346568704000} is an apocalyptic number.

20346568704000 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 20346568704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46545096764088).

20346568704000 is an abundant number, since it is smaller than the sum of its proper divisors (72743624824176).

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

20346568704000 is an frugal number, since it uses more digits than its factorization.

20346568704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 20346568704000 in words is "twenty trillion, three hundred forty-six billion, five hundred sixty-eight million, seven hundred four thousand".