9007999292880 has 640 divisors, whose sum is σ = 36047892787200. Its totient is φ = 2024939575296.

The previous prime is 9007999292869. The next prime is 9007999292921. The reversal of 9007999292880 is 882929997009.

It is a super-2 number, since 2×9007999292880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9007999292799 and 9007999292808.

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, 651377806 + ... + 651391634.

It is an arithmetic number, because the mean of its divisors is an integer number (56324832480).

Almost surely, 2^{9007999292880} is an apocalyptic number.

9007999292880 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 9007999292880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18023946393600).

9007999292880 is an abundant number, since it is smaller than the sum of its proper divisors (27039893494320).

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

9007999292880 is a wasteful number, since it uses less digits than its factorization.

9007999292880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14568 (or 14556 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 72.

The spelling of 9007999292880 in words is "nine trillion, seven billion, nine hundred ninety-nine million, two hundred ninety-two thousand, eight hundred eighty".