16273764000 has 768 divisors, whose sum is σ = 65119541760. Its totient is φ = 3923251200.

The previous prime is 16273763977. The next prime is 16273764049. The reversal of 16273764000 is 46737261.

16273764000 is a `hidden beast` number, since 1 + 6 + 2 + 7 + 3 + 7 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94067914 + ... + 94068086.

It is an arithmetic number, because the mean of its divisors is an integer number (84791070).

Almost surely, 2^16273764000 is an apocalyptic number.

16273764000 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 16273764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32559770880).

16273764000 is an abundant number, since it is smaller than the sum of its proper divisors (48845777760).

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

16273764000 is a wasteful number, since it uses less digits than its factorization.

16273764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 16273764000 in words is "sixteen billion, two hundred seventy-three million, seven hundred sixty-four thousand".