20745483264 has 176 divisors, whose sum is σ = 67024347840. Its totient is φ = 6286417920.

The previous prime is 20745483233. The next prime is 20745483271. The reversal of 20745483264 is 46238454702.

It is a happy number.

20745483264 is a `hidden beast` number, since 2 + 0 + 74 + 548 + 32 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270022 + ... + 338234.

Almost surely, 2^20745483264 is an apocalyptic number.

20745483264 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 20745483264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33512173920).

20745483264 is an abundant number, since it is smaller than the sum of its proper divisors (46278864576).

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

20745483264 is a wasteful number, since it uses less digits than its factorization.

20745483264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68253 (or 68229 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 20745483264 in words is "twenty billion, seven hundred forty-five million, four hundred eighty-three thousand, two hundred sixty-four".