26267649408 has 640 divisors, whose sum is σ = 104999811840. Its totient is φ = 6295449600.

The previous prime is 26267649407. The next prime is 26267649413. The reversal of 26267649408 is 80494676262.

26267649408 is a `hidden beast` number, since 2 + 626 + 7 + 6 + 4 + 9 + 4 + 0 + 8 = 666.

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 (26267649407) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10377103 + ... + 10379633.

It is an arithmetic number, because the mean of its divisors is an integer number (164062206).

Almost surely, 2^26267649408 is an apocalyptic number.

26267649408 is a gapful number since it is divisible by the number (28) 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 26267649408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52499905920).

26267649408 is an abundant number, since it is smaller than the sum of its proper divisors (78732162432).

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

26267649408 is a wasteful number, since it uses less digits than its factorization.

26267649408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 26267649408 in words is "twenty-six billion, two hundred sixty-seven million, six hundred forty-nine thousand, four hundred eight".