32612906760 has 256 divisors, whose sum is σ = 118921996800. Its totient is φ = 6984548352.

The previous prime is 32612906749. The next prime is 32612906761. The reversal of 32612906760 is 6760921623.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (32612906761) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3265134 + ... + 3275106.

It is an arithmetic number, because the mean of its divisors is an integer number (464539050).

Almost surely, 2^32612906760 is an apocalyptic number.

32612906760 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 32612906760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59460998400).

32612906760 is an abundant number, since it is smaller than the sum of its proper divisors (86309090040).

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

32612906760 is a wasteful number, since it uses less digits than its factorization.

32612906760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10240 (or 10236 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 32612906760 in words is "thirty-two billion, six hundred twelve million, nine hundred six thousand, seven hundred sixty".