26734768704 has 336 divisors, whose sum is σ = 94546033920. Its totient is φ = 7053742080.

The previous prime is 26734768673. The next prime is 26734768759. The reversal of 26734768704 is 40786743762.

26734768704 is a `hidden beast` number, since 26 + 73 + 476 + 87 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2684374 + ... + 2694314.

Almost surely, 2^26734768704 is an apocalyptic number.

26734768704 is a gapful number since it is divisible by the number (24) 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 26734768704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47273016960).

26734768704 is an abundant number, since it is smaller than the sum of its proper divisors (67811265216).

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

26734768704 is a wasteful number, since it uses less digits than its factorization.

26734768704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10018 (or 10005 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 26734768704 in words is "twenty-six billion, seven hundred thirty-four million, seven hundred sixty-eight thousand, seven hundred four".