9779338464 has 288 divisors, whose sum is σ = 30681848736. Its totient is φ = 2718535680.

The previous prime is 9779338463. The next prime is 9779338477. The reversal of 9779338464 is 4648339779.

It is a junction number, because it is equal to n+sod(n) for n = 9779338398 and 9779338407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9779338463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49641214 + ... + 49641410.

It is an arithmetic number, because the mean of its divisors is an integer number (106534197).

Almost surely, 2^9779338464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9779338464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15340924368).

9779338464 is an abundant number, since it is smaller than the sum of its proper divisors (20902510272).

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

9779338464 is a wasteful number, since it uses less digits than its factorization.

9779338464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 443 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 60.

The square root of 9779338464 is about 98890.5377880007. The cubic root of 9779338464 is about 2138.4699856408.

The spelling of 9779338464 in words is "nine billion, seven hundred seventy-nine million, three hundred thirty-eight thousand, four hundred sixty-four".