9180386328960 has 2048 divisors, whose sum is σ = 43546982400000. Its totient is φ = 1806968217600.

The previous prime is 9180386328943. The next prime is 9180386328991. The reversal of 9180386328960 is 698236830819.

9180386328960 is a `hidden beast` number, since 91 + 8 + 0 + 386 + 32 + 89 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1238747655 + ... + 1238755065.

It is an arithmetic number, because the mean of its divisors is an integer number (21263175000).

Almost surely, 2^{9180386328960} is an apocalyptic number.

9180386328960 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 9180386328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21773491200000).

9180386328960 is an abundant number, since it is smaller than the sum of its proper divisors (34366596071040).

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

9180386328960 is a wasteful number, since it uses less digits than its factorization.

9180386328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7490 (or 7458 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 9180386328960 in words is "nine trillion, one hundred eighty billion, three hundred eighty-six million, three hundred twenty-eight thousand, nine hundred sixty".