16245684000 has 1920 divisors, whose sum is σ = 79913433600. Its totient is φ = 3135283200.

The previous prime is 16245683989. The next prime is 16245684011. The reversal of 16245684000 is 48654261.

16245684000 is a `hidden beast` number, since 1 + 6 + 245 + 6 + 8 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16245683989) and next prime (16245684011).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 560195986 + ... + 560196014.

It is an arithmetic number, because the mean of its divisors is an integer number (41621580).

Almost surely, 2^16245684000 is an apocalyptic number.

16245684000 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 16245684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39956716800).

16245684000 is an abundant number, since it is smaller than the sum of its proper divisors (63667749600).

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

16245684000 is a wasteful number, since it uses less digits than its factorization.

16245684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 16245684000 in words is "sixteen billion, two hundred forty-five million, six hundred eighty-four thousand".