84884538240 has 192 divisors, whose sum is σ = 296650121040. Its totient is φ = 22363029504.

The previous prime is 84884538203. The next prime is 84884538251. The reversal of 84884538240 is 4283548848.

84884538240 is a `hidden beast` number, since 8 + 4 + 8 + 84 + 538 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389304 + ... + 566856.

Almost surely, 2^84884538240 is an apocalyptic number.

84884538240 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 84884538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148325060520).

84884538240 is an abundant number, since it is smaller than the sum of its proper divisors (211765582800).

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

84884538240 is a wasteful number, since it uses less digits than its factorization.

84884538240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177661 (or 177646 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

The spelling of 84884538240 in words is "eighty-four billion, eight hundred eighty-four million, five hundred thirty-eight thousand, two hundred forty".