9649916640 has 384 divisors, whose sum is σ = 41570565120. Its totient is φ = 2035943424.

The previous prime is 9649916621. The next prime is 9649916657. The reversal of 9649916640 is 466199469.

9649916640 is a `hidden beast` number, since 96 + 499 + 1 + 6 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 380847 + ... + 405393.

It is an arithmetic number, because the mean of its divisors is an integer number (108256680).

Almost surely, 2^9649916640 is an apocalyptic number.

9649916640 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 9649916640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20785282560).

9649916640 is an abundant number, since it is smaller than the sum of its proper divisors (31920648480).

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

9649916640 is a wasteful number, since it uses less digits than its factorization.

9649916640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24591 (or 24577 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 9649916640 is about 98233.9892297976. The cubic root of 9649916640 is about 2128.9944072930.

The spelling of 9649916640 in words is "nine billion, six hundred forty-nine million, nine hundred sixteen thousand, six hundred forty".