8745424257024 has 1600 divisors, whose sum is σ = 33649962931200. Its totient is φ = 2201506283520.

The previous prime is 8745424256887. The next prime is 8745424257041. The reversal of 8745424257024 is 4207524245478.

8745424257024 is a `hidden beast` number, since 8 + 7 + 4 + 5 + 4 + 2 + 42 + 570 + 24 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 119800332252 + ... + 119800332324.

It is an arithmetic number, because the mean of its divisors is an integer number (21031226832).

Almost surely, 2^{8745424257024} is an apocalyptic number.

8745424257024 is a gapful number since it is divisible by the number (84) 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 8745424257024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16824981465600).

8745424257024 is an abundant number, since it is smaller than the sum of its proper divisors (24904538674176).

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

8745424257024 is an frugal number, since it uses more digits than its factorization.

8745424257024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 20070400, while the sum is 54.

The spelling of 8745424257024 in words is "eight trillion, seven hundred forty-five billion, four hundred twenty-four million, two hundred fifty-seven thousand, twenty-four".