26610000768 has 192 divisors, whose sum is σ = 85518778800. Its totient is φ = 8187568128.

The previous prime is 26610000701. The next prime is 26610000793. The reversal of 26610000768 is 86700001662.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 371448 + ... + 437256.

Almost surely, 2^26610000768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26610000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42759389400).

26610000768 is an abundant number, since it is smaller than the sum of its proper divisors (58908778032).

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

26610000768 is an equidigital number, since it uses as much as digits as its factorization.

26610000768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65851 (or 65827 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 26610000768 in words is "twenty-six billion, six hundred ten million, seven hundred sixty-eight", and thus it is an aban number.