9745850880 has 640 divisors, whose sum is σ = 37535097600. Its totient is φ = 2388787200.

The previous prime is 9745850843. The next prime is 9745850893. The reversal of 9745850880 is 880585479.

9745850880 is a `hidden beast` number, since 9 + 7 + 4 + 58 + 508 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 53844390 + ... + 53844570.

It is an arithmetic number, because the mean of its divisors is an integer number (58648590).

Almost surely, 2^9745850880 is an apocalyptic number.

9745850880 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 9745850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18767548800).

9745850880 is an abundant number, since it is smaller than the sum of its proper divisors (27789246720).

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

9745850880 is a wasteful number, since it uses less digits than its factorization.

9745850880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 9745850880 is about 98721.0761691747. The cubic root of 9745850880 is about 2136.0262589879.

The spelling of 9745850880 in words is "nine billion, seven hundred forty-five million, eight hundred fifty thousand, eight hundred eighty".