32836450680 has 480 divisors, whose sum is σ = 123926196240. Its totient is φ = 7733698560.

The previous prime is 32836450639. The next prime is 32836450697. The reversal of 32836450680 is 8605463823.

It is a happy number.

32836450680 is a `hidden beast` number, since 3 + 2 + 8 + 3 + 64 + 506 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48790824 + ... + 48791496.

Almost surely, 2^32836450680 is an apocalyptic number.

32836450680 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 32836450680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61963098120).

32836450680 is an abundant number, since it is smaller than the sum of its proper divisors (91089745560).

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

32836450680 is a wasteful number, since it uses less digits than its factorization.

32836450680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 32836450680 in words is "thirty-two billion, eight hundred thirty-six million, four hundred fifty thousand, six hundred eighty".