8416838237280 has 576 divisors, whose sum is σ = 30001606806528. Its totient is φ = 1967016960000.

The previous prime is 8416838237273. The next prime is 8416838237293. The reversal of 8416838237280 is 827328386148.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1375072620 + ... + 1375078740.

It is an arithmetic number, because the mean of its divisors is an integer number (52086122928).

Almost surely, 2^{8416838237280} is an apocalyptic number.

8416838237280 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 8416838237280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15000803403264).

8416838237280 is an abundant number, since it is smaller than the sum of its proper divisors (21584768569248).

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

8416838237280 is a wasteful number, since it uses less digits than its factorization.

8416838237280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6483 (or 6444 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 60.

The spelling of 8416838237280 in words is "eight trillion, four hundred sixteen billion, eight hundred thirty-eight million, two hundred thirty-seven thousand, two hundred eighty".