8742452705280 has 1920 divisors, whose sum is σ = 39577698800640. Its totient is φ = 1798491340800.

The previous prime is 8742452705243. The next prime is 8742452705317. The reversal of 8742452705280 is 825072542478.

It is a happy number.

8742452705280 is a `hidden beast` number, since 8 + 7 + 4 + 2 + 45 + 2 + 70 + 528 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8742452705243) and next prime (8742452705317).

It is a tau number, because it is divible by the number of its divisors (1920).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2270175355 + ... + 2270179205.

It is an arithmetic number, because the mean of its divisors is an integer number (20613384792).

Almost surely, 2^{8742452705280} is an apocalyptic number.

8742452705280 is a gapful number since it is divisible by the number (80) 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 8742452705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19788849400320).

8742452705280 is an abundant number, since it is smaller than the sum of its proper divisors (30835246095360).

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

8742452705280 is a wasteful number, since it uses less digits than its factorization.

8742452705280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 54.

The spelling of 8742452705280 in words is "eight trillion, seven hundred forty-two billion, four hundred fifty-two million, seven hundred five thousand, two hundred eighty".