432632869760 has 1024 divisors, whose sum is σ = 1398297600000. Its totient is φ = 126804787200.

The previous prime is 432632869759. The next prime is 432632869787. The reversal of 432632869760 is 67968236234.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 432632869696 and 432632869705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4283493710 + ... + 4283493810.

It is an arithmetic number, because the mean of its divisors is an integer number (1365525000).

Almost surely, 2^432632869760 is an apocalyptic number.

432632869760 is a gapful number since it is divisible by the number (40) 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 432632869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699148800000).

432632869760 is an abundant number, since it is smaller than the sum of its proper divisors (965664730240).

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

432632869760 is a wasteful number, since it uses less digits than its factorization.

432632869760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 56.

The spelling of 432632869760 in words is "four hundred thirty-two billion, six hundred thirty-two million, eight hundred sixty-nine thousand, seven hundred sixty".