16830506778624 has 3240 divisors, whose sum is σ = 69442569391104. Its totient is φ = 4046605516800.

The previous prime is 16830506778623. The next prime is 16830506778671. The reversal of 16830506778624 is 42687760503861.

16830506778624 is a `hidden beast` number, since 1 + 6 + 8 + 30 + 506 + 7 + 78 + 6 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16830506778623) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 542919573489 + ... + 542919573519.

Almost surely, 2^{16830506778624} is an apocalyptic number.

16830506778624 is a gapful number since it is divisible by the number (14) 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 16830506778624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34721284695552).

16830506778624 is an abundant number, since it is smaller than the sum of its proper divisors (52612062612480).

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

16830506778624 is an equidigital number, since it uses as much as digits as its factorization.

16830506778624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 16830506778624 in words is "sixteen trillion, eight hundred thirty billion, five hundred six million, seven hundred seventy-eight thousand, six hundred twenty-four".