32492889072 has 320 divisors, whose sum is σ = 116506828800. Its totient is φ = 8455311360.

The previous prime is 32492889001. The next prime is 32492889097. The reversal of 32492889072 is 27098829423.

It is a happy number.

32492889072 is a `hidden beast` number, since 3 + 2 + 492 + 8 + 89 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1583454 + ... + 1603842.

It is an arithmetic number, because the mean of its divisors is an integer number (364083840).

Almost surely, 2^32492889072 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 32492889072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58253414400).

32492889072 is an abundant number, since it is smaller than the sum of its proper divisors (84013939728).

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

32492889072 is a wasteful number, since it uses less digits than its factorization.

32492889072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20461 (or 20449 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 32492889072 in words is "thirty-two billion, four hundred ninety-two million, eight hundred eighty-nine thousand, seventy-two".