32675461560 has 384 divisors, whose sum is σ = 126232404480. Its totient is φ = 7446670848.

The previous prime is 32675461549. The next prime is 32675461561. The reversal of 32675461560 is 6516457623.

32675461560 is a `hidden beast` number, since 3 + 26 + 7 + 5 + 4 + 61 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32675461561) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 38306094 + ... + 38306946.

It is an arithmetic number, because the mean of its divisors is an integer number (328730220).

Almost surely, 2^32675461560 is an apocalyptic number.

32675461560 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 32675461560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63116202240).

32675461560 is an abundant number, since it is smaller than the sum of its proper divisors (93556942920).

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

32675461560 is a wasteful number, since it uses less digits than its factorization.

32675461560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 32675461560 in words is "thirty-two billion, six hundred seventy-five million, four hundred sixty-one thousand, five hundred sixty".