9934081920 has 512 divisors, whose sum is σ = 42583449600. Its totient is φ = 2136637440.

The previous prime is 9934081907. The next prime is 9934081931. The reversal of 9934081920 is 291804399.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2053905 + ... + 2058735.

It is an arithmetic number, because the mean of its divisors is an integer number (83170800).

Almost surely, 2^9934081920 is an apocalyptic number.

9934081920 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 9934081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21291724800).

9934081920 is an abundant number, since it is smaller than the sum of its proper divisors (32649367680).

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

9934081920 is a wasteful number, since it uses less digits than its factorization.

9934081920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4883 (or 4865 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9934081920 is about 99669.8646532642. The cubic root of 9934081920 is about 2149.6903769022.

The spelling of 9934081920 in words is "nine billion, nine hundred thirty-four million, eighty-one thousand, nine hundred twenty".