9932914475520 has 640 divisors, whose sum is σ = 33000857809920. Its totient is φ = 2546907217920.

The previous prime is 9932914475461. The next prime is 9932914475521. The reversal of 9932914475520 is 255744192399.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (9932914475521) 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 63 ways as a sum of consecutive naturals, for example, 9560071161 + ... + 9560072199.

It is an arithmetic number, because the mean of its divisors is an integer number (51563840328).

Almost surely, 2^{9932914475520} 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 9932914475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16500428904960).

9932914475520 is an abundant number, since it is smaller than the sum of its proper divisors (23067943334400).

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

9932914475520 is a wasteful number, since it uses less digits than its factorization.

9932914475520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 60.

The spelling of 9932914475520 in words is "nine trillion, nine hundred thirty-two billion, nine hundred fourteen million, four hundred seventy-five thousand, five hundred twenty".