26904334464 has 256 divisors, whose sum is σ = 91848960000. Its totient is φ = 7593772032.

The previous prime is 26904334463. The next prime is 26904334489. The reversal of 26904334464 is 46443340962.

It is a happy number.

26904334464 is a `hidden beast` number, since 269 + 0 + 43 + 344 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (26904334463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2001237 + ... + 2014635.

It is an arithmetic number, because the mean of its divisors is an integer number (358785000).

Almost surely, 2^26904334464 is an apocalyptic number.

26904334464 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 26904334464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45924480000).

26904334464 is an abundant number, since it is smaller than the sum of its proper divisors (64944625536).

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

26904334464 is a wasteful number, since it uses less digits than its factorization.

26904334464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13512 (or 13494 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 26904334464 in words is "twenty-six billion, nine hundred four million, three hundred thirty-four thousand, four hundred sixty-four".