32686072640 has 224 divisors, whose sum is σ = 87329442816. Its totient is φ = 11570872320.

The previous prime is 32686072631. The next prime is 32686072651. The reversal of 32686072640 is 4627068623.

It is a junction number, because it is equal to n+sod(n) for n = 32686072591 and 32686072600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14571359 + ... + 14573601.

It is an arithmetic number, because the mean of its divisors is an integer number (389863584).

Almost surely, 2^32686072640 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 32686072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43664721408).

32686072640 is an abundant number, since it is smaller than the sum of its proper divisors (54643370176).

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

32686072640 is a wasteful number, since it uses less digits than its factorization.

32686072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 32686072640 in words is "thirty-two billion, six hundred eighty-six million, seventy-two thousand, six hundred forty".