16068294000 has 800 divisors, whose sum is σ = 64713572352. Its totient is φ = 3810240000.

The previous prime is 16068293933. The next prime is 16068294007. The reversal of 16068294000 is 49286061.

16068294000 is a `hidden beast` number, since 1 + 606 + 8 + 2 + 9 + 40 + 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 not an unprimeable number, because it can be changed into a prime (16068294007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 126521937 + ... + 126522063.

Almost surely, 2^16068294000 is an apocalyptic number.

16068294000 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 16068294000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32356786176).

16068294000 is an abundant number, since it is smaller than the sum of its proper divisors (48645278352).

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

16068294000 is a wasteful number, since it uses less digits than its factorization.

16068294000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 16068294000 in words is "sixteen billion, sixty-eight million, two hundred ninety-four thousand".