9767488500 has 432 divisors, whose sum is σ = 39112137792. Its totient is φ = 2029104000.

The previous prime is 9767488481. The next prime is 9767488501. The reversal of 9767488500 is 58847679.

9767488500 is a `hidden beast` number, since 97 + 6 + 7 + 48 + 8 + 500 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9767488501) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2423487 + ... + 2427513.

It is an arithmetic number, because the mean of its divisors is an integer number (90537356).

Almost surely, 2^9767488500 is an apocalyptic number.

9767488500 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 9767488500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19556068896).

9767488500 is an abundant number, since it is smaller than the sum of its proper divisors (29344649292).

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

9767488500 is a wasteful number, since it uses less digits than its factorization.

9767488500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 9767488500 is about 98830.6050775771. The cubic root of 9767488500 is about 2137.6058837463.

The spelling of 9767488500 in words is "nine billion, seven hundred sixty-seven million, four hundred eighty-eight thousand, five hundred".