9677885464900 has 81 divisors (see below), whose sum is σ = 21460590782589. Its totient is φ = 3788216792160.

The previous prime is 9677885464883. The next prime is 9677885464901. The reversal of 9677885464900 is 94645887769.

The square root of 9677885464900 is 3110930.

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., 3484038767364 + 6193846697536 = 1866558^2 + 2488744^2 .

It is a super-2 number, since 2×9677885464900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9677885464901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1462133791 + ... + 1462140409.

Almost surely, 2^{9677885464900} is an apocalyptic number.

9677885464900 is the 3110930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9677885464900

9677885464900 is an abundant number, since it is smaller than the sum of its proper divisors (11782705317689).

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

9677885464900 is an frugal number, since it uses more digits than its factorization.

9677885464900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13346 (or 6673 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 73.

The spelling of 9677885464900 in words is "nine trillion, six hundred seventy-seven billion, eight hundred eighty-five million, four hundred sixty-four thousand, nine hundred".