32745716640 has 768 divisors, whose sum is σ = 145662935040. Its totient is φ = 6683627520.

The previous prime is 32745716629. The next prime is 32745716651. The reversal of 32745716640 is 4661754723.

32745716640 is a `hidden beast` number, since 3 + 2 + 74 + 571 + 6 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (32745716629) and next prime (32745716651).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12185377 + ... + 12188063.

It is an arithmetic number, because the mean of its divisors is an integer number (189665280).

Almost surely, 2^32745716640 is an apocalyptic number.

32745716640 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 32745716640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72831467520).

32745716640 is an abundant number, since it is smaller than the sum of its proper divisors (112917218400).

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

32745716640 is a wasteful number, since it uses less digits than its factorization.

32745716640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 32745716640 in words is "thirty-two billion, seven hundred forty-five million, seven hundred sixteen thousand, six hundred forty".