26984830464 has 120 divisors (see below), whose sum is σ = 78055129152. Its totient is φ = 8974725120.

The previous prime is 26984830447. The next prime is 26984830489. The reversal of 26984830464 is 46403848962.

26984830464 is a `hidden beast` number, since 26 + 9 + 84 + 83 + 0 + 464 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 26984830464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2117937 + ... + 2130639.

Almost surely, 2^26984830464 is an apocalyptic number.

26984830464 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 26984830464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39027564576).

26984830464 is an abundant number, since it is smaller than the sum of its proper divisors (51070298688).

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

26984830464 is a wasteful number, since it uses less digits than its factorization.

26984830464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13188 (or 13169 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 26984830464 in words is "twenty-six billion, nine hundred eighty-four million, eight hundred thirty thousand, four hundred sixty-four".