432878894064 has 160 divisors (see below), whose sum is σ = 1286310528000. Its totient is φ = 139215234816.

The previous prime is 432878894051. The next prime is 432878894101. The reversal of 432878894064 is 460498878234.

432878894064 is a `hidden beast` number, since 432 + 87 + 8 + 89 + 40 + 6 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 432878893992 and 432878894010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18116077 + ... + 18139955.

It is an arithmetic number, because the mean of its divisors is an integer number (8039440800).

Almost surely, 2^432878894064 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 432878894064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643155264000).

432878894064 is an abundant number, since it is smaller than the sum of its proper divisors (853431633936).

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

432878894064 is a wasteful number, since it uses less digits than its factorization.

432878894064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25372 (or 25360 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 432878894064 in words is "four hundred thirty-two billion, eight hundred seventy-eight million, eight hundred ninety-four thousand, sixty-four".