9992268000 has 768 divisors, whose sum is σ = 42796615680. Its totient is φ = 2232576000.

The previous prime is 9992267981. The next prime is 9992268019. The reversal of 9992268000 is 8622999.

It is an interprime number because it is at equal distance from previous prime (9992267981) and next prime (9992268019).

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

It is a congruent number.

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, 15443677 + ... + 15444323.

It is an arithmetic number, because the mean of its divisors is an integer number (55724760).

Almost surely, 2^9992268000 is an apocalyptic number.

9992268000 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 9992268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21398307840).

9992268000 is an abundant number, since it is smaller than the sum of its proper divisors (32804347680).

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

9992268000 is a wasteful number, since it uses less digits than its factorization.

9992268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9992268000 is about 99961.3325241315. The cubic root of 9992268000 is about 2153.8792772248.

The spelling of 9992268000 in words is "nine billion, nine hundred ninety-two million, two hundred sixty-eight thousand".