26444564640 has 768 divisors, whose sum is σ = 106077081600. Its totient is φ = 6103240704.

The previous prime is 26444564639. The next prime is 26444564677. The reversal of 26444564640 is 4646544462.

26444564640 is a `hidden beast` number, since 2 + 6 + 4 + 44 + 564 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76208947 + ... + 76209293.

It is an arithmetic number, because the mean of its divisors is an integer number (138121200).

Almost surely, 2^26444564640 is an apocalyptic number.

26444564640 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 26444564640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53038540800).

26444564640 is an abundant number, since it is smaller than the sum of its proper divisors (79632516960).

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

26444564640 is a wasteful number, since it uses less digits than its factorization.

26444564640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 26444564640 in words is "twenty-six billion, four hundred forty-four million, five hundred sixty-four thousand, six hundred forty".