16722314400 has 288 divisors, whose sum is σ = 60199771968. Its totient is φ = 3997900800.

The previous prime is 16722314377. The next prime is 16722314423. The reversal of 16722314400 is 441322761.

It is an interprime number because it is at equal distance from previous prime (16722314377) and next prime (16722314423).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1922862 + ... + 1931538.

It is an arithmetic number, because the mean of its divisors is an integer number (209026986).

Almost surely, 2^16722314400 is an apocalyptic number.

16722314400 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 16722314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30099885984).

16722314400 is an abundant number, since it is smaller than the sum of its proper divisors (43477457568).

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

16722314400 is a wasteful number, since it uses less digits than its factorization.

16722314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8784 (or 8771 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 16722314400 in words is "sixteen billion, seven hundred twenty-two million, three hundred fourteen thousand, four hundred".