9614384640 has 640 divisors, whose sum is σ = 40351703040. Its totient is φ = 2123366400.

The previous prime is 9614384639. The next prime is 9614384641. The reversal of 9614384640 is 464834169.

It is an interprime number because it is at equal distance from previous prime (9614384639) and next prime (9614384641).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9614384641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14998720 + ... + 14999360.

It is an arithmetic number, because the mean of its divisors is an integer number (63049536).

Almost surely, 2^9614384640 is an apocalyptic number.

9614384640 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 9614384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20175851520).

9614384640 is an abundant number, since it is smaller than the sum of its proper divisors (30737318400).

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

9614384640 is a wasteful number, since it uses less digits than its factorization.

9614384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 9614384640 is about 98052.9685425179. The cubic root of 9614384640 is about 2126.3781336765.

The spelling of 9614384640 in words is "nine billion, six hundred fourteen million, three hundred eighty-four thousand, six hundred forty".