67440460032 has 720 divisors, whose sum is σ = 230747356224. Its totient is φ = 19408896000.

The previous prime is 67440460007. The next prime is 67440460039. The reversal of 67440460032 is 23006404476.

67440460032 is a `hidden beast` number, since 6 + 7 + 4 + 40 + 4 + 600 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (67440460039) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 514812607 + ... + 514812737.

Almost surely, 2^67440460032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67440460032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115373678112).

67440460032 is an abundant number, since it is smaller than the sum of its proper divisors (163306896192).

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

67440460032 is a wasteful number, since it uses less digits than its factorization.

67440460032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 67440460032 in words is "sixty-seven billion, four hundred forty million, four hundred sixty thousand, thirty-two".