9007921840 has 20 divisors (see below), whose sum is σ = 20943418464. Its totient is φ = 3603168704.

The previous prime is 9007921837. The next prime is 9007921841. The reversal of 9007921840 is 481297009.

9007921840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×9007921840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 9007921793 and 9007921802.

It is not an unprimeable number, because it can be changed into a prime (9007921841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56299432 + ... + 56299591.

Almost surely, 2^9007921840 is an apocalyptic number.

It is an amenable number.

9007921840 is an abundant number, since it is smaller than the sum of its proper divisors (11935496624).

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

9007921840 is a wasteful number, since it uses less digits than its factorization.

9007921840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112599036 (or 112599030 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 9007921840 is about 94910.0723843365. The cubic root of 9007921840 is about 2080.6939437519.

The spelling of 9007921840 in words is "nine billion, seven million, nine hundred twenty-one thousand, eight hundred forty".