8742425091840 has 1728 divisors, whose sum is σ = 37280173916160. Its totient is φ = 1929874636800.

The previous prime is 8742425091833. The next prime is 8742425091889. The reversal of 8742425091840 is 481905242478.

8742425091840 is a `hidden beast` number, since 8 + 7 + 42 + 42 + 509 + 18 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 2203785537 + ... + 2203789503.

It is an arithmetic number, because the mean of its divisors is an integer number (21574174720).

Almost surely, 2^{8742425091840} is an apocalyptic number.

8742425091840 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 8742425091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18640086958080).

8742425091840 is an abundant number, since it is smaller than the sum of its proper divisors (28537748824320).

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

8742425091840 is a wasteful number, since it uses less digits than its factorization.

8742425091840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067 (or 4036 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 8742425091840 in words is "eight trillion, seven hundred forty-two billion, four hundred twenty-five million, ninety-one thousand, eight hundred forty".