32688075420 has 1152 divisors, whose sum is σ = 142472494080. Its totient is φ = 6113802240.

The previous prime is 32688075419. The next prime is 32688075491. The reversal of 32688075420 is 2457088623.

32688075420 is a `hidden beast` number, since 3 + 26 + 8 + 80 + 7 + 542 + 0 = 666.

It is a super-3 number, since 3×32688075420³ (a number of 33 digits) contains 333 as substring.

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

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 383 ways as a sum of consecutive naturals, for example, 200540259 + ... + 200540421.

It is an arithmetic number, because the mean of its divisors is an integer number (123674040).

Almost surely, 2^32688075420 is an apocalyptic number.

32688075420 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 32688075420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71236247040).

32688075420 is an abundant number, since it is smaller than the sum of its proper divisors (109784418660).

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

32688075420 is a wasteful number, since it uses less digits than its factorization.

32688075420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 32688075420 in words is "thirty-two billion, six hundred eighty-eight million, seventy-five thousand, four hundred twenty".