432679532544 has 672 divisors, whose sum is σ = 1561171248000. Its totient is φ = 117062516736.

The previous prime is 432679532497. The next prime is 432679532581. The reversal of 432679532544 is 445235976234.

432679532544 is a `hidden beast` number, since 4 + 3 + 2 + 6 + 7 + 95 + 3 + 2 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×432679532544² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 198566847 + ... + 198569025.

It is an arithmetic number, because the mean of its divisors is an integer number (2323171500).

Almost surely, 2^432679532544 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 432679532544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780585624000).

432679532544 is an abundant number, since it is smaller than the sum of its proper divisors (1128491715456).

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

432679532544 is an equidigital number, since it uses as much as digits as its factorization.

432679532544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2210 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 54.

The spelling of 432679532544 in words is "four hundred thirty-two billion, six hundred seventy-nine million, five hundred thirty-two thousand, five hundred forty-four".