32770759680 has 440 divisors, whose sum is σ = 121267555200. Its totient is φ = 8453652480.

The previous prime is 32770759673. The next prime is 32770759717. The reversal of 32770759680 is 8695707723.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12855046 + ... + 12857594.

It is an arithmetic number, because the mean of its divisors is an integer number (275608080).

Almost surely, 2^32770759680 is an apocalyptic number.

32770759680 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 32770759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60633777600).

32770759680 is an abundant number, since it is smaller than the sum of its proper divisors (88496795520).

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

32770759680 is a wasteful number, since it uses less digits than its factorization.

32770759680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 32770759680 in words is "thirty-two billion, seven hundred seventy million, seven hundred fifty-nine thousand, six hundred eighty".