9916531640064 has 2160 divisors, whose sum is σ = 38519921563200. Its totient is φ = 2516252884992.

The previous prime is 9916531640063. The next prime is 9916531640083. The reversal of 9916531640064 is 4600461356199.

It is a happy number.

9916531640064 is a `hidden beast` number, since 9 + 9 + 1 + 6 + 531 + 6 + 40 + 0 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9916531640063) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 43303631502 + ... + 43303631730.

It is an arithmetic number, because the mean of its divisors is an integer number (17833297020).

Almost surely, 2^{9916531640064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9916531640064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19259960781600).

9916531640064 is an abundant number, since it is smaller than the sum of its proper divisors (28603389923136).

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

9916531640064 is a wasteful number, since it uses less digits than its factorization.

9916531640064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 9916531640064 in words is "nine trillion, nine hundred sixteen billion, five hundred thirty-one million, six hundred forty thousand, sixty-four".