26642342144 has 72 divisors (see below), whose sum is σ = 58086473760. Its totient is φ = 12095283200.

The previous prime is 26642342141. The next prime is 26642342147. The reversal of 26642342144 is 44124324662.

It is an interprime number because it is at equal distance from previous prime (26642342141) and next prime (26642342147).

It is a super-3 number, since 3×26642342144³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26642342098 and 26642342107.

It is not an unprimeable number, because it can be changed into a prime (26642342141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2475527 + ... + 2486265.

It is an arithmetic number, because the mean of its divisors is an integer number (806756580).

Almost surely, 2^26642342144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26642342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29043236880).

26642342144 is an abundant number, since it is smaller than the sum of its proper divisors (31444131616).

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

26642342144 is a wasteful number, since it uses less digits than its factorization.

26642342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11647 (or 11633 counting only the distinct ones).

The product of its digits is 221184, while the sum is 38.

The spelling of 26642342144 in words is "twenty-six billion, six hundred forty-two million, three hundred forty-two thousand, one hundred forty-four".