26045629632 has 336 divisors, whose sum is σ = 84172312224. Its totient is φ = 7630848000.

The previous prime is 26045629579. The next prime is 26045629681. The reversal of 26045629632 is 23692654062.

26045629632 is a `hidden beast` number, since 2 + 6 + 0 + 4 + 5 + 6 + 2 + 9 + 632 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56497882 + ... + 56498342.

It is an arithmetic number, because the mean of its divisors is an integer number (250512834).

Almost surely, 2^26045629632 is an apocalyptic number.

26045629632 is a gapful number since it is divisible by the number (22) 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 26045629632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42086156112).

26045629632 is an abundant number, since it is smaller than the sum of its proper divisors (58126682592).

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

26045629632 is a wasteful number, since it uses less digits than its factorization.

26045629632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 26045629632 in words is "twenty-six billion, forty-five million, six hundred twenty-nine thousand, six hundred thirty-two".