8742335875200 has 1536 divisors, whose sum is σ = 34521147648000. Its totient is φ = 2154055680000.

The previous prime is 8742335875183. The next prime is 8742335875249. The reversal of 8742335875200 is 25785332478.

8742335875200 is a `hidden beast` number, since 8 + 7 + 4 + 2 + 3 + 3 + 587 + 52 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 12471234850 + ... + 12471235550.

It is an arithmetic number, because the mean of its divisors is an integer number (22474705500).

Almost surely, 2^{8742335875200} is an apocalyptic number.

8742335875200 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 8742335875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17260573824000).

8742335875200 is an abundant number, since it is smaller than the sum of its proper divisors (25778811772800).

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

8742335875200 is a wasteful number, since it uses less digits than its factorization.

8742335875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 8742335875200 in words is "eight trillion, seven hundred forty-two billion, three hundred thirty-five million, eight hundred seventy-five thousand, two hundred".