8742514809600 has 2592 divisors, whose sum is σ = 40104545644800. Its totient is φ = 1852504473600.

The previous prime is 8742514809563. The next prime is 8742514809641. The reversal of 8742514809600 is 69084152478.

It is a happy number.

8742514809600 is a `hidden beast` number, since 8 + 7 + 4 + 25 + 1 + 4 + 8 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4225477366 + ... + 4225479434.

Almost surely, 2^{8742514809600} is an apocalyptic number.

8742514809600 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 8742514809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20052272822400).

8742514809600 is an abundant number, since it is smaller than the sum of its proper divisors (31362030835200).

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

8742514809600 is a wasteful number, since it uses less digits than its factorization.

8742514809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 8742514809600 in words is "eight trillion, seven hundred forty-two billion, five hundred fourteen million, eight hundred nine thousand, six hundred".