20769799680 has 800 divisors, whose sum is σ = 87341284800. Its totient is φ = 4618321920.

The previous prime is 20769799627. The next prime is 20769799711. The reversal of 20769799680 is 8699796702.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 59512146 + ... + 59512494.

It is an arithmetic number, because the mean of its divisors is an integer number (109176606).

Almost surely, 2^20769799680 is an apocalyptic number.

20769799680 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 20769799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43670642400).

20769799680 is an abundant number, since it is smaller than the sum of its proper divisors (66571485120).

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

20769799680 is an equidigital number, since it uses as much as digits as its factorization.

20769799680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 20769799680 in words is "twenty billion, seven hundred sixty-nine million, seven hundred ninety-nine thousand, six hundred eighty".