9490377600 has 576 divisors, whose sum is σ = 38253243600. Its totient is φ = 2219212800.

The previous prime is 9490377593. The next prime is 9490377601. The reversal of 9490377600 is 67730949.

9490377600 is a `hidden beast` number, since 9 + 4 + 9 + 0 + 37 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9490377601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9186684 + ... + 9187716.

Almost surely, 2^9490377600 is an apocalyptic number.

9490377600 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 9490377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19126621800).

9490377600 is an abundant number, since it is smaller than the sum of its proper divisors (28762866000).

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

9490377600 is a wasteful number, since it uses less digits than its factorization.

9490377600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 9490377600 is about 97418.5690718151. The cubic root of 9490377600 is about 2117.1964840938.

The spelling of 9490377600 in words is "nine billion, four hundred ninety million, three hundred seventy-seven thousand, six hundred".