20352740703264 has 180 divisors, whose sum is σ = 60688075307706. Its totient is φ = 6691307470848.

The previous prime is 20352740703247. The next prime is 20352740703283. The reversal of 20352740703264 is 46230704725302.

20352740703264 is a `hidden beast` number, since 20 + 3 + 527 + 4 + 0 + 70 + 32 + 6 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 19847987291664 + 504753411600 = 4455108^2 + 710460^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13076032 + ... + 14549504.

Almost surely, 2^{20352740703264} is an apocalyptic number.

20352740703264 is a gapful number since it is divisible by the number (24) 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 20352740703264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30344037653853).

20352740703264 is an abundant number, since it is smaller than the sum of its proper divisors (40335334604442).

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

20352740703264 is an equidigital number, since it uses as much as digits as its factorization.

20352740703264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473641 (or 1473551 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 20352740703264 in words is "twenty trillion, three hundred fifty-two billion, seven hundred forty million, seven hundred three thousand, two hundred sixty-four".