9907401600 has 672 divisors, whose sum is σ = 38154968640. Its totient is φ = 2538086400.

The previous prime is 9907401589. The next prime is 9907401601. The reversal of 9907401600 is 61047099.

9907401600 is a `hidden beast` number, since 9 + 9 + 0 + 7 + 40 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9907401601) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 72316732 + ... + 72316868.

Almost surely, 2^9907401600 is an apocalyptic number.

9907401600 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 9907401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19077484320).

9907401600 is an abundant number, since it is smaller than the sum of its proper divisors (28247567040).

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

9907401600 is a wasteful number, since it uses less digits than its factorization.

9907401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 9907401600 is about 99535.9312007478. The cubic root of 9907401600 is about 2147.7641512530.

Adding to 9907401600 its reverse (61047099), we get a palindrome (9968448699).

The spelling of 9907401600 in words is "nine billion, nine hundred seven million, four hundred one thousand, six hundred".