84913274880 has 360 divisors, whose sum is σ = 336428488032. Its totient is φ = 19407568896.

The previous prime is 84913274867. The next prime is 84913274893. The reversal of 84913274880 is 8847231948.

It is a happy number.

84913274880 is a `hidden beast` number, since 8 + 491 + 3 + 2 + 74 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (84913274867) and next prime (84913274893).

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5152734 + ... + 5169186.

Almost surely, 2^84913274880 is an apocalyptic number.

84913274880 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 84913274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168214244016).

84913274880 is an abundant number, since it is smaller than the sum of its proper divisors (251515213152).

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

84913274880 is a wasteful number, since it uses less digits than its factorization.

84913274880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16499 (or 16470 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 84913274880 in words is "eighty-four billion, nine hundred thirteen million, two hundred seventy-four thousand, eight hundred eighty".