26642107440 has 320 divisors, whose sum is σ = 102237206400. Its totient is φ = 6331723776.

The previous prime is 26642107423. The next prime is 26642107441. The reversal of 26642107440 is 4470124662.

26642107440 is a `hidden beast` number, since 2 + 6 + 642 + 1 + 0 + 7 + 4 + 4 + 0 = 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 = 26642107395 and 26642107404.

It is not an unprimeable number, because it can be changed into a prime (26642107441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 797962 + ... + 830678.

It is an arithmetic number, because the mean of its divisors is an integer number (319491270).

Almost surely, 2^26642107440 is an apocalyptic number.

26642107440 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 26642107440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51118603200).

26642107440 is an abundant number, since it is smaller than the sum of its proper divisors (75595098960).

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

26642107440 is a wasteful number, since it uses less digits than its factorization.

26642107440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32781 (or 32769 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 26642107440 in words is "twenty-six billion, six hundred forty-two million, one hundred seven thousand, four hundred forty".