9745920000 has 650 divisors, whose sum is σ = 37154769168. Its totient is φ = 2543616000.

The previous prime is 9745919947. The next prime is 9745920017. The reversal of 9745920000 is 295479.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 207359977 + ... + 207360023.

Almost surely, 2^9745920000 is an apocalyptic number.

9745920000 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 9745920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18577384584).

9745920000 is an abundant number, since it is smaller than the sum of its proper divisors (27408849168).

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

9745920000 is an frugal number, since it uses more digits than its factorization.

9745920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 9745920000 is about 98721.4262457750. The cubic root of 9745920000 is about 2136.0313087192.

The spelling of 9745920000 in words is "nine billion, seven hundred forty-five million, nine hundred twenty thousand".