32746881024 has 360 divisors, whose sum is σ = 111209100912. Its totient is φ = 9154068480.

The previous prime is 32746881001. The next prime is 32746881047. The reversal of 32746881024 is 42018864723.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (32746881001) and next prime (32746881047).

It is a super-2 number, since 2×32746881024² (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 21085432 + ... + 21086984.

Almost surely, 2^32746881024 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 32746881024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55604550456).

32746881024 is an abundant number, since it is smaller than the sum of its proper divisors (78462219888).

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

32746881024 is a wasteful number, since it uses less digits than its factorization.

32746881024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 32746881024 in words is "thirty-two billion, seven hundred forty-six million, eight hundred eighty-one thousand, twenty-four".