26430468480 has 768 divisors, whose sum is σ = 108064756800. Its totient is φ = 6115295232.

The previous prime is 26430468437. The next prime is 26430468499. The reversal of 26430468480 is 8486403462.

26430468480 is a `hidden beast` number, since 26 + 430 + 46 + 84 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34369536 + ... + 34370304.

Almost surely, 2^26430468480 is an apocalyptic number.

26430468480 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 26430468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54032378400).

26430468480 is an abundant number, since it is smaller than the sum of its proper divisors (81634288320).

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

26430468480 is a wasteful number, since it uses less digits than its factorization.

26430468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 26430468480 in words is "twenty-six billion, four hundred thirty million, four hundred sixty-eight thousand, four hundred eighty".