32641007616 has 480 divisors, whose sum is σ = 112739450880. Its totient is φ = 9141092352.

The previous prime is 32641007591. The next prime is 32641007647. The reversal of 32641007616 is 61670014623.

It is a happy number.

32641007616 is a `hidden beast` number, since 3 + 2 + 641 + 0 + 0 + 7 + 6 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 257015745 + ... + 257015871.

It is an arithmetic number, because the mean of its divisors is an integer number (234873856).

Almost surely, 2^32641007616 is an apocalyptic number.

32641007616 is a gapful number since it is divisible by the number (36) 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 32641007616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56369725440).

32641007616 is an abundant number, since it is smaller than the sum of its proper divisors (80098443264).

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

32641007616 is an equidigital number, since it uses as much as digits as its factorization.

32641007616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 32641007616 in words is "thirty-two billion, six hundred forty-one million, seven thousand, six hundred sixteen".