9779627664 has 225 divisors, whose sum is σ = 29451767961. Its totient is φ = 3132898560.

The previous prime is 9779627651. The next prime is 9779627713. The reversal of 9779627664 is 4667269779.

The square root of 9779627664 is 98892.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 471237264 + 9308390400 = 21708^2 + 96480^2 .

It is a super-2 number, since 2×9779627664² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 145964559 + ... + 145964625.

Almost surely, 2^9779627664 is an apocalyptic number.

9779627664 is the 98892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9779627664

9779627664 is an abundant number, since it is smaller than the sum of its proper divisors (19672140297).

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

9779627664 is an equidigital number, since it uses as much as digits as its factorization.

9779627664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 113 counting only the distinct ones).

The product of its digits is 48009024, while the sum is 63.

The cubic root of 9779627664 is about 2138.4910654383.

The spelling of 9779627664 in words is "nine billion, seven hundred seventy-nine million, six hundred twenty-seven thousand, six hundred sixty-four".