9767600640 has 480 divisors, whose sum is σ = 39250987776. Its totient is φ = 2198568960.

The previous prime is 9767600639. The next prime is 9767600651. The reversal of 9767600640 is 460067679.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×9767600640³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11450454 + ... + 11451306.

Almost surely, 2^9767600640 is an apocalyptic number.

9767600640 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 9767600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19625493888).

9767600640 is an abundant number, since it is smaller than the sum of its proper divisors (29483387136).

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

9767600640 is a wasteful number, since it uses less digits than its factorization.

9767600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 9767600640 is about 98831.1724103281. The cubic root of 9767600640 is about 2137.6140642937.

The spelling of 9767600640 in words is "nine billion, seven hundred sixty-seven million, six hundred thousand, six hundred forty".