26641124640 has 192 divisors, whose sum is σ = 100416758400. Its totient is φ = 6557801472.

The previous prime is 26641124623. The next prime is 26641124669. The reversal of 26641124640 is 4642114662.

26641124640 is a `hidden beast` number, since 2 + 6 + 6 + 4 + 1 + 1 + 2 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26641124595 and 26641124604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181030 + ... + 293349.

It is an arithmetic number, because the mean of its divisors is an integer number (523003950).

Almost surely, 2^26641124640 is an apocalyptic number.

26641124640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26641124640 is an abundant number, since it is smaller than the sum of its proper divisors (73775633760).

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

26641124640 is a wasteful number, since it uses less digits than its factorization.

26641124640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474416 (or 474402 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 26641124640 in words is "twenty-six billion, six hundred forty-one million, one hundred twenty-four thousand, six hundred forty".