9619948800 has 1080 divisors, whose sum is σ = 44530191552. Its totient is φ = 1990656000.

The previous prime is 9619948787. The next prime is 9619948801. The reversal of 9619948800 is 88499169.

It is a tau number, because it is divible by the number of its divisors (1080).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9619948801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39916680 + ... + 39916920.

Almost surely, 2^9619948800 is an apocalyptic number.

9619948800 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 9619948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22265095776).

9619948800 is an abundant number, since it is smaller than the sum of its proper divisors (34910242752).

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

9619948800 is a wasteful number, since it uses less digits than its factorization.

9619948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 9619948800 is about 98081.3376744016. The cubic root of 9619948800 is about 2126.7882561789.

The spelling of 9619948800 in words is "nine billion, six hundred nineteen million, nine hundred forty-eight thousand, eight hundred".