432684063360 has 640 divisors, whose sum is σ = 1633527878400. Its totient is φ = 108839116800.

The previous prime is 432684063319. The next prime is 432684063373. The reversal of 432684063360 is 63360486234.

432684063360 is a `hidden beast` number, since 4 + 3 + 2 + 6 + 8 + 4 + 0 + 633 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 266923350 + ... + 266924970.

It is an arithmetic number, because the mean of its divisors is an integer number (2552387310).

Almost surely, 2^432684063360 is an apocalyptic number.

432684063360 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 432684063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816763939200).

432684063360 is an abundant number, since it is smaller than the sum of its proper divisors (1200843815040).

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

432684063360 is a wasteful number, since it uses less digits than its factorization.

432684063360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 432684063360 in words is "four hundred thirty-two billion, six hundred eighty-four million, sixty-three thousand, three hundred sixty".