9483879600 has 480 divisors, whose sum is σ = 37542041600. Its totient is φ = 2258150400.

The previous prime is 9483879589. The next prime is 9483879703. The reversal of 9483879600 is 69783849.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

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, 4351311 + ... + 4353489.

Almost surely, 2^9483879600 is an apocalyptic number.

9483879600 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 9483879600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18771020800).

9483879600 is an abundant number, since it is smaller than the sum of its proper divisors (28058162000).

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

9483879600 is a wasteful number, since it uses less digits than its factorization.

9483879600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 9483879600 is about 97385.2124298140. The cubic root of 9483879600 is about 2116.7131635338.

The spelling of 9483879600 in words is "nine billion, four hundred eighty-three million, eight hundred seventy-nine thousand, six hundred".