9890546964480 has 2304 divisors, whose sum is σ = 45195339571200. Its totient is φ = 2018047426560.

The previous prime is 9890546964439. The next prime is 9890546964481. The reversal of 9890546964480 is 844696450989.

9890546964480 is a `hidden beast` number, since 9 + 8 + 9 + 0 + 54 + 6 + 96 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a junction number, because it is equal to n+sod(n) for n = 9890546964399 and 9890546964408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9890546964481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7019550016 + ... + 7019551424.

It is an arithmetic number, because the mean of its divisors is an integer number (19616032800).

Almost surely, 2^{9890546964480} is an apocalyptic number.

9890546964480 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 9890546964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22597669785600).

9890546964480 is an abundant number, since it is smaller than the sum of its proper divisors (35304792606720).

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

9890546964480 is a wasteful number, since it uses less digits than its factorization.

9890546964480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 9890546964480 in words is "nine trillion, eight hundred ninety billion, five hundred forty-six million, nine hundred sixty-four thousand, four hundred eighty".