20746214190720 has 896 divisors, whose sum is σ = 78531915692160. Its totient is φ = 5227807039488.

The previous prime is 20746214190679. The next prime is 20746214190721. The reversal of 20746214190720 is 2709141264702.

20746214190720 is a `hidden beast` number, since 2 + 0 + 7 + 4 + 621 + 4 + 19 + 0 + 7 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (20746214190721) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 890651394 + ... + 890674686.

It is an arithmetic number, because the mean of its divisors is an integer number (87647227335).

Almost surely, 2^{20746214190720} is an apocalyptic number.

20746214190720 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 20746214190720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39265957846080).

20746214190720 is an abundant number, since it is smaller than the sum of its proper divisors (57785701501440).

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

20746214190720 is an equidigital number, since it uses as much as digits as its factorization.

20746214190720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23436 (or 23409 counting only the distinct ones).

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

The spelling of 20746214190720 in words is "twenty trillion, seven hundred forty-six billion, two hundred fourteen million, one hundred ninety thousand, seven hundred twenty".