9699782400 has 1080 divisors, whose sum is σ = 44898209664. Its totient is φ = 2015539200.

The previous prime is 9699782381. The next prime is 9699782401. The reversal of 9699782400 is 42879969.

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

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 (9699782401) 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, 881798395 + ... + 881798405.

Almost surely, 2^9699782400 is an apocalyptic number.

9699782400 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 9699782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22449104832).

9699782400 is an abundant number, since it is smaller than the sum of its proper divisors (35198427264).

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

9699782400 is an frugal number, since it uses more digits than its factorization.

9699782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 9699782400 is about 98487.4733151379. The cubic root of 9699782400 is about 2132.6552879894.

9699782400 divided by its product of nonzero digits (1959552) gives a triangular number (4950 = T₉₉).

The spelling of 9699782400 in words is "nine billion, six hundred ninety-nine million, seven hundred eighty-two thousand, four hundred".