900706716000 has 2304 divisors, whose sum is σ = 4327213363200. Its totient is φ = 178561843200.

The previous prime is 900706715981. The next prime is 900706716053. The reversal of 900706716000 is 617607009.

It is a super-2 number, since 2×900706716000² (a number of 25 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1503683701 + ... + 1503684299.

It is an arithmetic number, because the mean of its divisors is an integer number (1878130800).

Almost surely, 2^900706716000 is an apocalyptic number.

900706716000 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 900706716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163606681600).

900706716000 is an abundant number, since it is smaller than the sum of its proper divisors (3426506647200).

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

900706716000 is a wasteful number, since it uses less digits than its factorization.

900706716000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 900706716000 in words is "nine hundred billion, seven hundred six million, seven hundred sixteen thousand".