9748958400 has 126 divisors (see below), whose sum is σ = 34650151172. Its totient is φ = 2599718400.

The previous prime is 9748958377. The next prime is 9748958447. The reversal of 9748958400 is 48598479.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 324106 + ... + 352905.

Almost surely, 2^9748958400 is an apocalyptic number.

9748958400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9748958400 is an abundant number, since it is smaller than the sum of its proper divisors (24901192772).

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

9748958400 is a wasteful number, since it uses less digits than its factorization.

9748958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677039 (or 677021 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 9748958400 is about 98736.8138031606. The cubic root of 9748958400 is about 2136.2532629041.

The spelling of 9748958400 in words is "nine billion, seven hundred forty-eight million, nine hundred fifty-eight thousand, four hundred".