26204761440 has 768 divisors, whose sum is σ = 108820454400. Its totient is φ = 5840640000.

The previous prime is 26204761423. The next prime is 26204761459. The reversal of 26204761440 is 4416740262.

26204761440 is a `hidden beast` number, since 2 + 6 + 204 + 7 + 6 + 1 + 440 = 666.

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 = 26204761395 and 26204761404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104401315 + ... + 104401565.

It is an arithmetic number, because the mean of its divisors is an integer number (141693300).

Almost surely, 2^26204761440 is an apocalyptic number.

26204761440 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 26204761440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54410227200).

26204761440 is an abundant number, since it is smaller than the sum of its proper divisors (82615692960).

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

26204761440 is a wasteful number, since it uses less digits than its factorization.

26204761440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 26204761440 in words is "twenty-six billion, two hundred four million, seven hundred sixty-one thousand, four hundred forty".