9792630400 has 432 divisors, whose sum is σ = 29871081990. Its totient is φ = 3162378240.

The previous prime is 9792630389. The next prime is 9792630401. The reversal of 9792630400 is 40362979.

9792630400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 8967332416 + 825297984 = 94696^2 + 28728^2 .

It is a super-2 number, since 2×9792630400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (9792630401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 56604714 + ... + 56604886.

Almost surely, 2^9792630400 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 9792630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14935540995).

9792630400 is an abundant number, since it is smaller than the sum of its proper divisors (20078451590).

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

9792630400 is a wasteful number, since it uses less digits than its factorization.

9792630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 9792630400 is about 98957.7202647676. The cubic root of 9792630400 is about 2139.4384062210.

The spelling of 9792630400 in words is "nine billion, seven hundred ninety-two million, six hundred thirty thousand, four hundred".