32616440640 has 224 divisors, whose sum is σ = 131501448960. Its totient is φ = 7455172608.

The previous prime is 32616440639. The next prime is 32616440641. The reversal of 32616440640 is 4604461623.

32616440640 is a `hidden beast` number, since 3 + 2 + 6 + 1 + 6 + 4 + 4 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (32616440639) and next prime (32616440641).

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 32616440595 and 32616440604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32616440641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209167 + ... + 330126.

It is an arithmetic number, because the mean of its divisors is an integer number (587060040).

Almost surely, 2^32616440640 is an apocalyptic number.

32616440640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32616440640 is an abundant number, since it is smaller than the sum of its proper divisors (98885008320).

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

32616440640 is a wasteful number, since it uses less digits than its factorization.

32616440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539326 (or 539310 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 32616440640 in words is "thirty-two billion, six hundred sixteen million, four hundred forty thousand, six hundred forty".