84586764240 has 960 divisors, whose sum is σ = 343178035200. Its totient is φ = 19147622400.

The previous prime is 84586764239. The next prime is 84586764247. The reversal of 84586764240 is 4246768548.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84586764247) by changing a digit.

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, 442862545 + ... + 442862735.

It is an arithmetic number, because the mean of its divisors is an integer number (357477120).

Almost surely, 2^84586764240 is an apocalyptic number.

84586764240 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 84586764240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171589017600).

84586764240 is an abundant number, since it is smaller than the sum of its proper divisors (258591270960).

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

84586764240 is a wasteful number, since it uses less digits than its factorization.

84586764240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 84586764240 in words is "eighty-four billion, five hundred eighty-six million, seven hundred sixty-four thousand, two hundred forty".