9763006464 has 240 divisors, whose sum is σ = 29402673300. Its totient is φ = 3227516928.

The previous prime is 9763006433. The next prime is 9763006471. The reversal of 9763006464 is 4646003679.

9763006464 is a `hidden beast` number, since 9 + 7 + 630 + 0 + 6 + 4 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6737126400 + 3025880064 = 82080^2 + 55008^2 .

It is a super-2 number, since 2×9763006464² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37988224 + ... + 37988480.

Almost surely, 2^9763006464 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 9763006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14701336650).

9763006464 is an abundant number, since it is smaller than the sum of its proper divisors (19639666836).

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

9763006464 is a wasteful number, since it uses less digits than its factorization.

9763006464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 9763006464 is about 98807.9271313795. The cubic root of 9763006464 is about 2137.2788705686.

The spelling of 9763006464 in words is "nine billion, seven hundred sixty-three million, six thousand, four hundred sixty-four".