9027736640 has 112 divisors (see below), whose sum is σ = 23289737520. Its totient is φ = 3333058560.

The previous prime is 9027736633. The next prime is 9027736643. The reversal of 9027736640 is 466377209.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6910264384 + 2117472256 = 83128^2 + 46016^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9027736591 and 9027736600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9027736643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 696620 + ... + 709460.

It is an arithmetic number, because the mean of its divisors is an integer number (207944085).

Almost surely, 2^9027736640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9027736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11644868760).

9027736640 is an abundant number, since it is smaller than the sum of its proper divisors (14262000880).

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

9027736640 is a wasteful number, since it uses less digits than its factorization.

9027736640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12897 (or 12861 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 44.

The square root of 9027736640 is about 95014.4022767075. The cubic root of 9027736640 is about 2082.2184663417.

The spelling of 9027736640 in words is "nine billion, twenty-seven million, seven hundred thirty-six thousand, six hundred forty".