9745291920 has 320 divisors, whose sum is σ = 37357608960. Its totient is φ = 2046449664.

The previous prime is 9745291909. The next prime is 9745291931. The reversal of 9745291920 is 291925479.

It is an interprime number because it is at equal distance from previous prime (9745291909) and next prime (9745291931).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9745291920.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5218827 + ... + 5220693.

It is an arithmetic number, because the mean of its divisors is an integer number (116742528).

Almost surely, 2^9745291920 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 9745291920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18678804480).

9745291920 is an abundant number, since it is smaller than the sum of its proper divisors (27612317040).

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

9745291920 is a wasteful number, since it uses less digits than its factorization.

9745291920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 9745291920 is about 98718.2451221657. The cubic root of 9745291920 is about 2135.9854219151.

The spelling of 9745291920 in words is "nine billion, seven hundred forty-five million, two hundred ninety-one thousand, nine hundred twenty".