16620134400 has 504 divisors, whose sum is σ = 60847248384. Its totient is φ = 4335206400.

The previous prime is 16620134287. The next prime is 16620134431. The reversal of 16620134400 is 443102661.

16620134400 is a `hidden beast` number, since 1 + 6 + 620 + 1 + 34 + 4 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130867137 + ... + 130867263.

Almost surely, 2^16620134400 is an apocalyptic number.

16620134400 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 16620134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30423624192).

16620134400 is an abundant number, since it is smaller than the sum of its proper divisors (44227113984).

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

16620134400 is a wasteful number, since it uses less digits than its factorization.

16620134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 16620134400 in words is "sixteen billion, six hundred twenty million, one hundred thirty-four thousand, four hundred".