9745534124480 has 336 divisors, whose sum is σ = 29735475134976. Its totient is φ = 3008072632320.

The previous prime is 9745534124429. The next prime is 9745534124531. The reversal of 9745534124480 is 844214355479.

It is an interprime number because it is at equal distance from previous prime (9745534124429) and next prime (9745534124531).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17491157 + ... + 18039723.

Almost surely, 2^{9745534124480} 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 9745534124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14867737567488).

9745534124480 is an abundant number, since it is smaller than the sum of its proper divisors (19989941010496).

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

9745534124480 is a wasteful number, since it uses less digits than its factorization.

9745534124480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548712 (or 548695 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 56.

The spelling of 9745534124480 in words is "nine trillion, seven hundred forty-five billion, five hundred thirty-four million, one hundred twenty-four thousand, four hundred eighty".