16240672800 has 576 divisors, whose sum is σ = 66314505600. Its totient is φ = 3799756800.

The previous prime is 16240672793. The next prime is 16240672867. The reversal of 16240672800 is 827604261.

16240672800 is a `hidden beast` number, since 1 + 624 + 0 + 6 + 7 + 28 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 6889222 + ... + 6891578.

It is an arithmetic number, because the mean of its divisors is an integer number (115129350).

Almost surely, 2^16240672800 is an apocalyptic number.

16240672800 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 16240672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33157252800).

16240672800 is an abundant number, since it is smaller than the sum of its proper divisors (50073832800).

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

16240672800 is a wasteful number, since it uses less digits than its factorization.

16240672800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 16240672800 in words is "sixteen billion, two hundred forty million, six hundred seventy-two thousand, eight hundred".