20330763264 has 528 divisors, whose sum is σ = 71874264000. Its totient is φ = 5657444352.

The previous prime is 20330763259. The next prime is 20330763269. The reversal of 20330763264 is 46236703302.

20330763264 is a `hidden beast` number, since 2 + 0 + 330 + 7 + 63 + 264 = 666.

It is an interprime number because it is at equal distance from previous prime (20330763259) and next prime (20330763269).

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 (20330763269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58254162 + ... + 58254510.

It is an arithmetic number, because the mean of its divisors is an integer number (136125500).

Almost surely, 2^20330763264 is an apocalyptic number.

20330763264 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 20330763264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35937132000).

20330763264 is an abundant number, since it is smaller than the sum of its proper divisors (51543500736).

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

20330763264 is a wasteful number, since it uses less digits than its factorization.

20330763264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 20330763264 in words is "twenty billion, three hundred thirty million, seven hundred sixty-three thousand, two hundred sixty-four".