9631362240 has 448 divisors, whose sum is σ = 37553310720. Its totient is φ = 2311372800.

The previous prime is 9631362239. The next prime is 9631362259. The reversal of 9631362240 is 422631369.

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 = 9631362195 and 9631362204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3376815 + ... + 3379665.

Almost surely, 2^9631362240 is an apocalyptic number.

9631362240 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 9631362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18776655360).

9631362240 is an abundant number, since it is smaller than the sum of its proper divisors (27921948480).

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

9631362240 is a wasteful number, since it uses less digits than its factorization.

9631362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 9631362240 is about 98139.5039726613. The cubic root of 9631362240 is about 2127.6290221453.

The spelling of 9631362240 in words is "nine billion, six hundred thirty-one million, three hundred sixty-two thousand, two hundred forty".