20849076864 has 256 divisors, whose sum is σ = 76718361600. Its totient is φ = 5415275520.

The previous prime is 20849076863. The next prime is 20849076881. The reversal of 20849076864 is 46867094802.

20849076864 is a `hidden beast` number, since 2 + 0 + 8 + 490 + 76 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 20849076864.

It is not an unprimeable number, because it can be changed into a prime (20849076863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226939 + ... + 305285.

It is an arithmetic number, because the mean of its divisors is an integer number (299681100).

Almost surely, 2^20849076864 is an apocalyptic number.

20849076864 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 20849076864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38359180800).

20849076864 is an abundant number, since it is smaller than the sum of its proper divisors (55869284736).

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

20849076864 is a wasteful number, since it uses less digits than its factorization.

20849076864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78388 (or 78370 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 20849076864 in words is "twenty billion, eight hundred forty-nine million, seventy-six thousand, eight hundred sixty-four".