9775016640 has 336 divisors, whose sum is σ = 36263092320. Its totient is φ = 2408693760.

The previous prime is 9775016639. The next prime is 9775016651. The reversal of 9775016640 is 466105779.

It is a happy number.

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

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, 2241342 + ... + 2245698.

It is an arithmetic number, because the mean of its divisors is an integer number (107925870).

Almost surely, 2^9775016640 is an apocalyptic number.

9775016640 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 9775016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18131546160).

9775016640 is an abundant number, since it is smaller than the sum of its proper divisors (26488075680).

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

9775016640 is a wasteful number, since it uses less digits than its factorization.

9775016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4440 (or 4427 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 9775016640 is about 98868.6838184872. The cubic root of 9775016640 is about 2138.1549182246.

The spelling of 9775016640 in words is "nine billion, seven hundred seventy-five million, sixteen thousand, six hundred forty".