32957056746 has 72 divisors (see below), whose sum is σ = 75915165924. Its totient is φ = 10331245440.

The previous prime is 32957056739. The next prime is 32957056837. The reversal of 32957056746 is 64765075923.

32957056746 is a `hidden beast` number, since 3 + 2 + 9 + 5 + 70 + 567 + 4 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31687916121 + 1269140625 = 178011^2 + 35625^2 .

It is a junction number, because it is equal to n+sod(n) for n = 32957056692 and 32957056701.

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 35 ways as a sum of consecutive naturals, for example, 871716 + ... + 908736.

Almost surely, 2^32957056746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32957056746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37957582962).

32957056746 is an abundant number, since it is smaller than the sum of its proper divisors (42958109178).

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

32957056746 is a wasteful number, since it uses less digits than its factorization.

32957056746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37204 (or 37182 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 32957056746 in words is "thirty-two billion, nine hundred fifty-seven million, fifty-six thousand, seven hundred forty-six".