26720968320 has 384 divisors, whose sum is σ = 95777510400. Its totient is φ = 6857441280.

The previous prime is 26720968319. The next prime is 26720968333. The reversal of 26720968320 is 2386902762.

26720968320 is a `hidden beast` number, since 2 + 67 + 209 + 68 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46960996 + ... + 46961564.

It is an arithmetic number, because the mean of its divisors is an integer number (249420600).

Almost surely, 2^26720968320 is an apocalyptic number.

26720968320 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 26720968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47888755200).

26720968320 is an abundant number, since it is smaller than the sum of its proper divisors (69056542080).

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

26720968320 is a wasteful number, since it uses less digits than its factorization.

26720968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 26720968320 in words is "twenty-six billion, seven hundred twenty million, nine hundred sixty-eight thousand, three hundred twenty".