84461727840 has 192 divisors, whose sum is σ = 305821910016. Its totient is φ = 19193812992.

The previous prime is 84461727803. The next prime is 84461727859. The reversal of 84461727840 is 4872716448.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508629 + ... + 653931.

It is an arithmetic number, because the mean of its divisors is an integer number (1592822448).

Almost surely, 2^84461727840 is an apocalyptic number.

84461727840 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 84461727840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152910955008).

84461727840 is an abundant number, since it is smaller than the sum of its proper divisors (221360182176).

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

84461727840 is a wasteful number, since it uses less digits than its factorization.

84461727840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145501 (or 145493 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 51.

The spelling of 84461727840 in words is "eighty-four billion, four hundred sixty-one million, seven hundred twenty-seven thousand, eight hundred forty".