16068326400 has 1056 divisors, whose sum is σ = 69934690560. Its totient is φ = 3583180800.

The previous prime is 16068326399. The next prime is 16068326411. The reversal of 16068326400 is 462386061.

16068326400 is a `hidden beast` number, since 1 + 6 + 0 + 6 + 8 + 3 + 2 + 640 + 0 = 666.

It is a super-2 number, since 2×16068326400² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 391910380 + ... + 391910420.

Almost surely, 2^16068326400 is an apocalyptic number.

16068326400 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 16068326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34967345280).

16068326400 is an abundant number, since it is smaller than the sum of its proper divisors (53866364160).

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

16068326400 is an frugal number, since it uses more digits than its factorization.

16068326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 16068326400 in words is "sixteen billion, sixty-eight million, three hundred twenty-six thousand, four hundred".