916806276000 has 960 divisors, whose sum is σ = 3568857836544. Its totient is φ = 230107392000.

The previous prime is 916806275999. The next prime is 916806276007. The reversal of 916806276000 is 672608619.

916806276000 is a `hidden beast` number, since 9 + 16 + 8 + 0 + 6 + 27 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (916806276007) 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, 371626767 + ... + 371629233.

Almost surely, 2^916806276000 is an apocalyptic number.

916806276000 is a gapful number since it is divisible by the number (90) 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 916806276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784428918272).

916806276000 is an abundant number, since it is smaller than the sum of its proper divisors (2652051560544).

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

916806276000 is a wasteful number, since it uses less digits than its factorization.

916806276000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 916806276000 in words is "nine hundred sixteen billion, eight hundred six million, two hundred seventy-six thousand".