9763012002240 has 1792 divisors, whose sum is σ = 42996989952000. Its totient is φ = 2035067535360.

The previous prime is 9763012002197. The next prime is 9763012002253. The reversal of 9763012002240 is 422002103679.

9763012002240 is a `hidden beast` number, since 9 + 7 + 630 + 12 + 0 + 0 + 2 + 2 + 4 + 0 = 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 = 9763012002195 and 9763012002204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7943865946 + ... + 7943867174.

It is an arithmetic number, because the mean of its divisors is an integer number (23993856000).

Almost surely, 2^{9763012002240} is an apocalyptic number.

9763012002240 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 9763012002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21498494976000).

9763012002240 is an abundant number, since it is smaller than the sum of its proper divisors (33233977949760).

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

9763012002240 is a wasteful number, since it uses less digits than its factorization.

9763012002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 9763012002240 in words is "nine trillion, seven hundred sixty-three billion, twelve million, two thousand, two hundred forty".