21863076864 has 352 divisors, whose sum is σ = 65021890560. Its totient is φ = 6502809600.

The previous prime is 21863076841. The next prime is 21863076889. The reversal of 21863076864 is 46867036812.

It is a super-2 number, since 2×21863076864² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77804404 + ... + 77804684.

It is an arithmetic number, because the mean of its divisors is an integer number (184721280).

Almost surely, 2^21863076864 is an apocalyptic number.

21863076864 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 21863076864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32510945280).

21863076864 is an abundant number, since it is smaller than the sum of its proper divisors (43158813696).

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

21863076864 is a wasteful number, since it uses less digits than its factorization.

21863076864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 21863076864 in words is "twenty-one billion, eight hundred sixty-three million, seventy-six thousand, eight hundred sixty-four".