26836064640 has 1152 divisors, whose sum is σ = 121417470720. Its totient is φ = 5509140480.

The previous prime is 26836064617. The next prime is 26836064657. The reversal of 26836064640 is 4646063862.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 323326039 + ... + 323326121.

It is an arithmetic number, because the mean of its divisors is an integer number (105397110).

Almost surely, 2^26836064640 is an apocalyptic number.

26836064640 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 26836064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60708735360).

26836064640 is an abundant number, since it is smaller than the sum of its proper divisors (94581406080).

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

26836064640 is an frugal number, since it uses more digits than its factorization.

26836064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 26836064640 in words is "twenty-six billion, eight hundred thirty-six million, sixty-four thousand, six hundred forty".