26398676304 has 1680 divisors, whose sum is σ = 116806898880. Its totient is φ = 5643509760.

The previous prime is 26398676281. The next prime is 26398676309. The reversal of 26398676304 is 40367689362.

26398676304 is a `hidden beast` number, since 263 + 9 + 8 + 6 + 76 + 304 = 666.

It is a super-2 number, since 2×26398676304² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26398676309) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1389404007 + ... + 1389404025.

It is an arithmetic number, because the mean of its divisors is an integer number (69527916).

Almost surely, 2^26398676304 is an apocalyptic number.

26398676304 is a gapful number since it is divisible by the number (24) 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 26398676304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58403449440).

26398676304 is an abundant number, since it is smaller than the sum of its proper divisors (90408222576).

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

26398676304 is a wasteful number, since it uses less digits than its factorization.

26398676304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 26398676304 in words is "twenty-six billion, three hundred ninety-eight million, six hundred seventy-six thousand, three hundred four".