26437608960 has 480 divisors, whose sum is σ = 99149225472. Its totient is φ = 5991874560.

The previous prime is 26437608943. The next prime is 26437609013. The reversal of 26437608960 is 6980673462.

It is a happy number.

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

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, 61339945 + ... + 61340375.

Almost surely, 2^26437608960 is an apocalyptic number.

26437608960 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 26437608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49574612736).

26437608960 is an abundant number, since it is smaller than the sum of its proper divisors (72711616512).

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

26437608960 is a wasteful number, since it uses less digits than its factorization.

26437608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 26437608960 in words is "twenty-six billion, four hundred thirty-seven million, six hundred eight thousand, nine hundred sixty".