16623662400 has 840 divisors, whose sum is σ = 66235458080. Its totient is φ = 4075868160.

The previous prime is 16623662399. The next prime is 16623662467. The reversal of 16623662400 is 426632661.

16623662400 is a `hidden beast` number, since 1 + 6 + 6 + 23 + 6 + 624 + 0 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 105883122 + ... + 105883278.

Almost surely, 2^16623662400 is an apocalyptic number.

16623662400 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 16623662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33117729040).

16623662400 is an abundant number, since it is smaller than the sum of its proper divisors (49611795680).

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

16623662400 is a wasteful number, since it uses less digits than its factorization.

16623662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 16623662400 in words is "sixteen billion, six hundred twenty-three million, six hundred sixty-two thousand, four hundred".