32620481775 has 144 divisors (see below), whose sum is σ = 67920652800. Its totient is φ = 14658382080.

The previous prime is 32620481737. The next prime is 32620481783. The reversal of 32620481775 is 57718402623.

32620481775 is a `hidden beast` number, since 3 + 2 + 620 + 4 + 8 + 17 + 7 + 5 = 666.

It is not a de Polignac number, because 32620481775 - 2⁸ = 32620481519 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 32620481775.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23862142 + ... + 23863508.

It is an arithmetic number, because the mean of its divisors is an integer number (471671200).

Almost surely, 2^32620481775 is an apocalyptic number.

32620481775 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

32620481775 is an abundant number, since it is smaller than the sum of its proper divisors (35300171025).

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

32620481775 is a wasteful number, since it uses less digits than its factorization.

32620481775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 32620481775 in words is "thirty-two billion, six hundred twenty million, four hundred eighty-one thousand, seven hundred seventy-five".