26792640000 has 800 divisors, whose sum is σ = 113516663040. Its totient is φ = 6110208000.

The previous prime is 26792639989. The next prime is 26792640013. The reversal of 26792640000 is 4629762.

It is a happy number.

26792640000 is a `hidden beast` number, since 2 + 6 + 7 + 9 + 2 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60479779 + ... + 60480221.

Almost surely, 2^26792640000 is an apocalyptic number.

26792640000 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 26792640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56758331520).

26792640000 is an abundant number, since it is smaller than the sum of its proper divisors (86724023040).

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

26792640000 is an frugal number, since it uses more digits than its factorization.

26792640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 26792640000 in words is "twenty-six billion, seven hundred ninety-two million, six hundred forty thousand".