84743258880 has 576 divisors, whose sum is σ = 330197898240. Its totient is φ = 18091081728.

The previous prime is 84743258879. The next prime is 84743258921. The reversal of 84743258880 is 8885234748.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 84743258880.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37281424 + ... + 37283696.

It is an arithmetic number, because the mean of its divisors is an integer number (573260240).

Almost surely, 2^84743258880 is an apocalyptic number.

84743258880 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 84743258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165098949120).

84743258880 is an abundant number, since it is smaller than the sum of its proper divisors (245454639360).

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

84743258880 is a wasteful number, since it uses less digits than its factorization.

84743258880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 57.

The spelling of 84743258880 in words is "eighty-four billion, seven hundred forty-three million, two hundred fifty-eight thousand, eight hundred eighty".