8414534768640 has 3456 divisors, whose sum is σ = 38578771445760. Its totient is φ = 1545810739200.

The previous prime is 8414534768621. The next prime is 8414534768729. The reversal of 8414534768640 is 468674354148.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 86747781072 + ... + 86747781168.

It is an arithmetic number, because the mean of its divisors is an integer number (11162838960).

Almost surely, 2^{8414534768640} is an apocalyptic number.

8414534768640 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 8414534768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19289385722880).

8414534768640 is an abundant number, since it is smaller than the sum of its proper divisors (30164236677120).

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

8414534768640 is a wasteful number, since it uses less digits than its factorization.

8414534768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 60.

The spelling of 8414534768640 in words is "eight trillion, four hundred fourteen billion, five hundred thirty-four million, seven hundred sixty-eight thousand, six hundred forty".