32404935960 has 192 divisors, whose sum is σ = 108498405600. Its totient is φ = 8381657088.

The previous prime is 32404935947. The next prime is 32404935967. The reversal of 32404935960 is 6953940423.

32404935960 is a `hidden beast` number, since 32 + 40 + 493 + 5 + 96 + 0 = 666.

It is a super-2 number, since 2×32404935960² (a number of 22 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (32404935967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4485231 + ... + 4492449.

Almost surely, 2^32404935960 is an apocalyptic number.

32404935960 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 32404935960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54249202800).

32404935960 is an abundant number, since it is smaller than the sum of its proper divisors (76093469640).

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

32404935960 is a wasteful number, since it uses less digits than its factorization.

32404935960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7610 (or 7603 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 32404935960 in words is "thirty-two billion, four hundred four million, nine hundred thirty-five thousand, nine hundred sixty".