26730041472 has 320 divisors, whose sum is σ = 86640840000. Its totient is φ = 8148252672.

The previous prime is 26730041417. The next prime is 26730041483. The reversal of 26730041472 is 27414003762.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5710429 + ... + 5715107.

It is an arithmetic number, because the mean of its divisors is an integer number (270752625).

Almost surely, 2^26730041472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26730041472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43320420000).

26730041472 is an abundant number, since it is smaller than the sum of its proper divisors (59910798528).

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

26730041472 is a wasteful number, since it uses less digits than its factorization.

26730041472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4753 (or 4732 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 26730041472 in words is "twenty-six billion, seven hundred thirty million, forty-one thousand, four hundred seventy-two".