26746122240 has 520 divisors, whose sum is σ = 100189428768. Its totient is φ = 6812467200.

The previous prime is 26746122239. The next prime is 26746122251. The reversal of 26746122240 is 4222164762.

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 = 26746122195 and 26746122204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38153890 + ... + 38154590.

Almost surely, 2^26746122240 is an apocalyptic number.

26746122240 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 26746122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50094714384).

26746122240 is an abundant number, since it is smaller than the sum of its proper divisors (73443306528).

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

26746122240 is an equidigital number, since it uses as much as digits as its factorization.

26746122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 734 counting only the distinct ones).

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

The spelling of 26746122240 in words is "twenty-six billion, seven hundred forty-six million, one hundred twenty-two thousand, two hundred forty".