432828000650640 has 320 divisors, whose sum is σ = 1540154431236096. Its totient is φ = 98499496144896.

The previous prime is 432828000650621. The next prime is 432828000650651. The reversal of 432828000650640 is 46056000828234.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 432828000650640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5747475867 + ... + 5747551173.

Almost surely, 2^{432828000650640} is an apocalyptic number.

432828000650640 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 432828000650640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770077215618048).

432828000650640 is an abundant number, since it is smaller than the sum of its proper divisors (1107326430585456).

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

432828000650640 is a wasteful number, since it uses less digits than its factorization.

432828000650640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90246 (or 90240 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 432828000650640 in words is "four hundred thirty-two trillion, eight hundred twenty-eight billion, six hundred fifty thousand, six hundred forty".