9779046480 has 240 divisors, whose sum is σ = 37658899200. Its totient is φ = 2227709952.

The previous prime is 9779046469. The next prime is 9779046491. The reversal of 9779046480 is 846409779.

It is a happy number.

9779046480 is a `hidden beast` number, since 9 + 77 + 90 + 4 + 6 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (9779046469) and next prime (9779046491).

It is a tau number, because it is divible by the number of its divisors (240).

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, 1574421 + ... + 1580619.

It is an arithmetic number, because the mean of its divisors is an integer number (156912080).

Almost surely, 2^9779046480 is an apocalyptic number.

9779046480 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 9779046480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18829449600).

9779046480 is an abundant number, since it is smaller than the sum of its proper divisors (27879852720).

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

9779046480 is a wasteful number, since it uses less digits than its factorization.

9779046480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6538 (or 6529 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 9779046480 is about 98889.0614780017. The cubic root of 9779046480 is about 2138.4487024958.

The spelling of 9779046480 in words is "nine billion, seven hundred seventy-nine million, forty-six thousand, four hundred eighty".