26496234404640 has 1728 divisors, whose sum is σ = 122566654199808. Its totient is φ = 5071979151360.

The previous prime is 26496234404597. The next prime is 26496234404671. The reversal of 26496234404640 is 4640443269462.

26496234404640 is a `hidden beast` number, since 2 + 6 + 4 + 9 + 623 + 4 + 4 + 0 + 4 + 6 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9624493504 + ... + 9624496256.

It is an arithmetic number, because the mean of its divisors is an integer number (70929776736).

Almost surely, 2^{26496234404640} is an apocalyptic number.

26496234404640 is a gapful number since it is divisible by the number (20) 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 26496234404640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61283327099904).

26496234404640 is an abundant number, since it is smaller than the sum of its proper divisors (96070419795168).

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

26496234404640 is a wasteful number, since it uses less digits than its factorization.

26496234404640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3423 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 54.

The spelling of 26496234404640 in words is "twenty-six trillion, four hundred ninety-six billion, two hundred thirty-four million, four hundred four thousand, six hundred forty".