9000156720 has 80 divisors (see below), whose sum is σ = 27920355840. Its totient is φ = 2398332672.

The previous prime is 9000156707. The next prime is 9000156743. The reversal of 9000156720 is 276510009.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×9000156720³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344271 + ... + 369489.

It is an arithmetic number, because the mean of its divisors is an integer number (349004448).

Almost surely, 2^9000156720 is an apocalyptic number.

It is an amenable number.

9000156720 is an abundant number, since it is smaller than the sum of its proper divisors (18920199120).

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

9000156720 is a wasteful number, since it uses less digits than its factorization.

9000156720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26722 (or 26716 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 9000156720 is about 94869.1557883805. The cubic root of 9000156720 is about 2080.0958967128.

Adding to 9000156720 its reverse (276510009), we get a palindrome (9276666729).

The spelling of 9000156720 in words is "nine billion, one hundred fifty-six thousand, seven hundred twenty".