9976361760 has 120 divisors (see below), whose sum is σ = 35208289116. Its totient is φ = 2660359680.

The previous prime is 9976361677. The next prime is 9976361761. The reversal of 9976361760 is 671636799.

It can be written as a sum of positive squares in 2 ways, for example, as 9965629584 + 10732176 = 99828^2 + 3276^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×9976361760³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9976361697 and 9976361706.

It is not an unprimeable number, because it can be changed into a prime (9976361761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 371931 + ... + 397850.

Almost surely, 2^9976361760 is an apocalyptic number.

9976361760 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9976361760 is an abundant number, since it is smaller than the sum of its proper divisors (25231927356).

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

9976361760 is a wasteful number, since it uses less digits than its factorization.

9976361760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769808 (or 769791 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 9976361760 is about 99881.7388715275. The cubic root of 9976361760 is about 2152.7357825462.

The spelling of 9976361760 in words is "nine billion, nine hundred seventy-six million, three hundred sixty-one thousand, seven hundred sixty".