32726384640 has 476 divisors, whose sum is σ = 118619779284. Its totient is φ = 8663334912.

The previous prime is 32726384611. The next prime is 32726384641. The reversal of 32726384640 is 4648362723.

32726384640 is a `hidden beast` number, since 3 + 2 + 7 + 2 + 638 + 4 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15479341056 + 17247043584 = 124416^2 + 131328^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32726384641) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 238878652 + ... + 238878788.

Almost surely, 2^32726384640 is an apocalyptic number.

32726384640 is a gapful number since it is divisible by the number (30) 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 32726384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59309889642).

32726384640 is an abundant number, since it is smaller than the sum of its proper divisors (85893394644).

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

32726384640 is an frugal number, since it uses more digits than its factorization.

32726384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 32726384640 in words is "thirty-two billion, seven hundred twenty-six million, three hundred eighty-four thousand, six hundred forty".