26729634064 has 45 divisors (see below), whose sum is σ = 60254277687. Its totient is φ = 11453595552.

The previous prime is 26729634059. The next prime is 26729634067. The reversal of 26729634064 is 46043692762.

The square root of 26729634064 is 163492.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 26729633999 and 26729634017.

It is not an unprimeable number, because it can be changed into a prime (26729634067) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4574857 + ... + 4580695.

Almost surely, 2^26729634064 is an apocalyptic number.

26729634064 is the 163492-nd square number.

It is an amenable number.

26729634064 is an abundant number, since it is smaller than the sum of its proper divisors (33524643623).

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

26729634064 is an frugal number, since it uses more digits than its factorization.

26729634064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11700 (or 5848 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 49.

Multiplying 26729634064 by its sum of digits (49), we get a square (1309752069136 = 1144444²).

26729634064 divided by its sum of digits (49) gives a square (545502736 = 23356²).

The spelling of 26729634064 in words is "twenty-six billion, seven hundred twenty-nine million, six hundred thirty-four thousand, sixty-four".