900723743010 has 1344 divisors, whose sum is σ = 3318075187200. Its totient is φ = 171492152832.

The previous prime is 900723742981. The next prime is 900723743011. The reversal of 900723743010 is 10347327009.

It is a super-2 number, since 2×900723743010² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (900723743011) by changing a digit.

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 671 ways as a sum of consecutive naturals, for example, 3768718471 + ... + 3768718709.

Almost surely, 2^900723743010 is an apocalyptic number.

900723743010 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 900723743010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659037593600).

900723743010 is an abundant number, since it is smaller than the sum of its proper divisors (2417351444190).

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

900723743010 is a wasteful number, since it uses less digits than its factorization.

900723743010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 900723743010 in words is "nine hundred billion, seven hundred twenty-three million, seven hundred forty-three thousand, ten".