16413696000 has 672 divisors, whose sum is σ = 64190166768. Its totient is φ = 4010803200.

The previous prime is 16413695999. The next prime is 16413696043. The reversal of 16413696000 is 69631461.

16413696000 is a `hidden beast` number, since 1 + 6 + 41 + 3 + 6 + 9 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13307904 + 16400388096 = 3648^2 + 128064^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119807932 + ... + 119808068.

Almost surely, 2^16413696000 is an apocalyptic number.

16413696000 is a gapful number since it is divisible by the number (10) 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 16413696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32095083384).

16413696000 is an abundant number, since it is smaller than the sum of its proper divisors (47776470768).

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

16413696000 is a wasteful number, since it uses less digits than its factorization.

16413696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 16413696000 in words is "sixteen billion, four hundred thirteen million, six hundred ninety-six thousand".