84450593760 has 384 divisors, whose sum is σ = 304394993280. Its totient is φ = 19527008256.

The previous prime is 84450593719. The next prime is 84450593761. The reversal of 84450593760 is 6739505448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84450593761) 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 63 ways as a sum of consecutive naturals, for example, 6689214 + ... + 6701826.

It is an arithmetic number, because the mean of its divisors is an integer number (792695295).

Almost surely, 2^84450593760 is an apocalyptic number.

84450593760 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 84450593760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152197496640).

84450593760 is an abundant number, since it is smaller than the sum of its proper divisors (219944399520).

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

84450593760 is a wasteful number, since it uses less digits than its factorization.

84450593760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12710 (or 12702 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 84450593760 in words is "eighty-four billion, four hundred fifty million, five hundred ninety-three thousand, seven hundred sixty".