9671380992000 has 3072 divisors, whose sum is σ = 45480493094400. Its totient is φ = 1974730752000.

The previous prime is 9671380991999. The next prime is 9671380992017. The reversal of 9671380992000 is 2990831769.

9671380992000 is a `hidden beast` number, since 96 + 71 + 380 + 99 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×9671380992000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 311980031985 + ... + 311980032015.

Almost surely, 2^{9671380992000} is an apocalyptic number.

9671380992000 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 9671380992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22740246547200).

9671380992000 is an abundant number, since it is smaller than the sum of its proper divisors (35809112102400).

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

9671380992000 is an equidigital number, since it uses as much as digits as its factorization.

9671380992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 9671380992000 in words is "nine trillion, six hundred seventy-one billion, three hundred eighty million, nine hundred ninety-two thousand".