9377913600 has 972 divisors, whose sum is σ = 39544078392. Its totient is φ = 2101248000.

The previous prime is 9377913563. The next prime is 9377913631. The reversal of 9377913600 is 63197739.

9377913600 is a `hidden beast` number, since 9 + 37 + 7 + 9 + 1 + 3 + 600 = 666.

9377913600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 228729580 + ... + 228729620.

Almost surely, 2^9377913600 is an apocalyptic number.

9377913600 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 9377913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19772039196).

9377913600 is an abundant number, since it is smaller than the sum of its proper divisors (30166164792).

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

9377913600 is a wasteful number, since it uses less digits than its factorization.

9377913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 214326, while the sum is 45.

The square root of 9377913600 is about 96839.6282520746. The cubic root of 9377913600 is about 2108.8000784438.

It can be divided in two parts, 9 and 377913600, that multiplied together give a square (3401222400 = 58320²).

The spelling of 9377913600 in words is "nine billion, three hundred seventy-seven million, nine hundred thirteen thousand, six hundred".