9037254240 has 960 divisors, whose sum is σ = 39517632000. Its totient is φ = 1938650112.

The previous prime is 9037254211. The next prime is 9037254263. The reversal of 9037254240 is 424527309.

9037254240 is a `hidden beast` number, since 9 + 0 + 3 + 72 + 542 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9037254195 and 9037254204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 84460267 + ... + 84460373.

It is an arithmetic number, because the mean of its divisors is an integer number (41164200).

Almost surely, 2^9037254240 is an apocalyptic number.

9037254240 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 9037254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19758816000).

9037254240 is an abundant number, since it is smaller than the sum of its proper divisors (30480377760).

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

9037254240 is a wasteful number, since it uses less digits than its factorization.

9037254240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 9037254240 is about 95064.4741215140. The cubic root of 9037254240 is about 2082.9499439713.

The spelling of 9037254240 in words is "nine billion, thirty-seven million, two hundred fifty-four thousand, two hundred forty".