9671829672960 has 1584 divisors, whose sum is σ = 42781874977296. Its totient is φ = 2001824907264.

The previous prime is 9671829672941. The next prime is 9671829672977. The reversal of 9671829672960 is 692769281769.

It can be written as a sum of positive squares in 8 ways, for example, as 7988069376 + 9663841603584 = 89376^2 + 3108672^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1555703772 + ... + 1555709988.

Almost surely, 2^{9671829672960} is an apocalyptic number.

9671829672960 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 9671829672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21390937488648).

9671829672960 is an abundant number, since it is smaller than the sum of its proper divisors (33110045304336).

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

9671829672960 is a wasteful number, since it uses less digits than its factorization.

9671829672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6328 (or 6300 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 9671829672960 in words is "nine trillion, six hundred seventy-one billion, eight hundred twenty-nine million, six hundred seventy-two thousand, nine hundred sixty".