9907010400 has 576 divisors, whose sum is σ = 39792453120. Its totient is φ = 2090188800.

The previous prime is 9907010387. The next prime is 9907010417. The reversal of 9907010400 is 40107099.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13086822 + ... + 13087578.

It is an arithmetic number, because the mean of its divisors is an integer number (69084120).

Almost surely, 2^9907010400 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 9907010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19896226560).

9907010400 is an abundant number, since it is smaller than the sum of its proper divisors (29885442720).

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

9907010400 is a wasteful number, since it uses less digits than its factorization.

9907010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 9907010400 is about 99533.9660618424. The cubic root of 9907010400 is about 2147.7358822736.

Adding to 9907010400 its reverse (40107099), we get a palindrome (9947117499).

The spelling of 9907010400 in words is "nine billion, nine hundred seven million, ten thousand, four hundred".