26339120640 has 480 divisors, whose sum is σ = 104906767680. Its totient is φ = 5982584832.

The previous prime is 26339120623. The next prime is 26339120651. The reversal of 26339120640 is 4602193362.

26339120640 is a `hidden beast` number, since 2 + 6 + 3 + 3 + 9 + 1 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26339120595 and 26339120604.

It is a congruent number.

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, 31771746 + ... + 31772574.

It is an arithmetic number, because the mean of its divisors is an integer number (218555766).

Almost surely, 2^26339120640 is an apocalyptic number.

26339120640 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 26339120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52453383840).

26339120640 is an abundant number, since it is smaller than the sum of its proper divisors (78567647040).

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

26339120640 is a wasteful number, since it uses less digits than its factorization.

26339120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 26339120640 in words is "twenty-six billion, three hundred thirty-nine million, one hundred twenty thousand, six hundred forty".