26715674040 has 256 divisors, whose sum is σ = 89037688320. Its totient is φ = 6358794240.

The previous prime is 26715674021. The next prime is 26715674077. The reversal of 26715674040 is 4047651762.

It is a junction number, because it is equal to n+sod(n) for n = 26715673983 and 26715674001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17540719 + ... + 17542241.

It is an arithmetic number, because the mean of its divisors is an integer number (347803470).

Almost surely, 2^26715674040 is an apocalyptic number.

26715674040 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 26715674040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44518844160).

26715674040 is an abundant number, since it is smaller than the sum of its proper divisors (62322014280).

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

26715674040 is a wasteful number, since it uses less digits than its factorization.

26715674040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 26715674040 in words is "twenty-six billion, seven hundred fifteen million, six hundred seventy-four thousand, forty".