32940768420 has 576 divisors, whose sum is σ = 128228002560. Its totient is φ = 6974263296.

The previous prime is 32940768391. The next prime is 32940768433. The reversal of 32940768420 is 2486704923.

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

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 191 ways as a sum of consecutive naturals, for example, 30137394 + ... + 30138486.

It is an arithmetic number, because the mean of its divisors is an integer number (222618060).

Almost surely, 2^32940768420 is an apocalyptic number.

32940768420 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 32940768420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64114001280).

32940768420 is an abundant number, since it is smaller than the sum of its proper divisors (95287234140).

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

32940768420 is a wasteful number, since it uses less digits than its factorization.

32940768420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 32940768420 in words is "thirty-two billion, nine hundred forty million, seven hundred sixty-eight thousand, four hundred twenty".