9933290820 has 288 divisors, whose sum is σ = 33260572800. Its totient is φ = 2481352704.

The previous prime is 9933290819. The next prime is 9933290831. The reversal of 9933290820 is 280923399.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8956426 + ... + 8957534.

It is an arithmetic number, because the mean of its divisors is an integer number (115488100).

Almost surely, 2^9933290820 is an apocalyptic number.

9933290820 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 9933290820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16630286400).

9933290820 is an abundant number, since it is smaller than the sum of its proper divisors (23327281980).

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

9933290820 is a wasteful number, since it uses less digits than its factorization.

9933290820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 9933290820 is about 99665.8959724940. The cubic root of 9933290820 is about 2149.6333119006.

The spelling of 9933290820 in words is "nine billion, nine hundred thirty-three million, two hundred ninety thousand, eight hundred twenty".