9993780480 has 288 divisors, whose sum is σ = 34967116800. Its totient is φ = 2421293056.

The previous prime is 9993780437. The next prime is 9993780481. The reversal of 9993780480 is 840873999.

It is a self number, because there is not a number n which added to its sum of digits gives 9993780480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9993780481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1890481 + ... + 1895759.

It is an arithmetic number, because the mean of its divisors is an integer number (121413600).

Almost surely, 2^9993780480 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 9993780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17483558400).

9993780480 is an abundant number, since it is smaller than the sum of its proper divisors (24973336320).

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

9993780480 is a wasteful number, since it uses less digits than its factorization.

9993780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5349 (or 5335 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The square root of 9993780480 is about 99968.8975631921. The cubic root of 9993780480 is about 2153.9879457465.

The spelling of 9993780480 in words is "nine billion, nine hundred ninety-three million, seven hundred eighty thousand, four hundred eighty".