432948680640 has 840 divisors, whose sum is σ = 1869533484192. Its totient is φ = 94650716160.

The previous prime is 432948680639. The next prime is 432948680651. The reversal of 432948680640 is 46086849234.

432948680640 is a `hidden beast` number, since 4 + 3 + 29 + 486 + 80 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 29204430 + ... + 29219250.

Almost surely, 2^432948680640 is an apocalyptic number.

432948680640 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 432948680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934766742096).

432948680640 is an abundant number, since it is smaller than the sum of its proper divisors (1436584803552).

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

432948680640 is a wasteful number, since it uses less digits than its factorization.

432948680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14887 (or 14861 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 432948680640 in words is "four hundred thirty-two billion, nine hundred forty-eight million, six hundred eighty thousand, six hundred forty".