16632677430432 has 576 divisors, whose sum is σ = 56732304754944. Its totient is φ = 4695400120320.

The previous prime is 16632677430427. The next prime is 16632677430451. The reversal of 16632677430432 is 23403477623661.

16632677430432 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 267 + 74 + 304 + 3 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1546788768 + ... + 1546799520.

It is an arithmetic number, because the mean of its divisors is an integer number (98493584644).

Almost surely, 2^{16632677430432} is an apocalyptic number.

16632677430432 is a gapful number since it is divisible by the number (12) 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 16632677430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28366152377472).

16632677430432 is an abundant number, since it is smaller than the sum of its proper divisors (40099627324512).

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

16632677430432 is a wasteful number, since it uses less digits than its factorization.

16632677430432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11123 (or 11103 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 54.

The spelling of 16632677430432 in words is "sixteen trillion, six hundred thirty-two billion, six hundred seventy-seven million, four hundred thirty thousand, four hundred thirty-two".