9472780800 has 720 divisors, whose sum is σ = 41081781312. Its totient is φ = 2034892800.

The previous prime is 9472780799. The next prime is 9472780819. The reversal of 9472780800 is 80872749.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 13708455 + ... + 13709145.

Almost surely, 2^9472780800 is an apocalyptic number.

9472780800 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 9472780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20540890656).

9472780800 is an abundant number, since it is smaller than the sum of its proper divisors (31609000512).

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

9472780800 is a wasteful number, since it uses less digits than its factorization.

9472780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 9472780800 is about 97328.2117373991. The cubic root of 9472780800 is about 2115.8871251237.

The spelling of 9472780800 in words is "nine billion, four hundred seventy-two million, seven hundred eighty thousand, eight hundred".