26938203264 has 384 divisors, whose sum is σ = 96547324800. Its totient is φ = 7242006528.

The previous prime is 26938203241. The next prime is 26938203283. The reversal of 26938203264 is 46230283962.

It is a happy number.

26938203264 is a `hidden beast` number, since 2 + 6 + 9 + 382 + 0 + 3 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6989562 + ... + 6993414.

It is an arithmetic number, because the mean of its divisors is an integer number (251425325).

Almost surely, 2^26938203264 is an apocalyptic number.

26938203264 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 26938203264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48273662400).

26938203264 is an abundant number, since it is smaller than the sum of its proper divisors (69609121536).

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

26938203264 is a wasteful number, since it uses less digits than its factorization.

26938203264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3917 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 26938203264 in words is "twenty-six billion, nine hundred thirty-eight million, two hundred three thousand, two hundred sixty-four".