84732461856 has 240 divisors, whose sum is σ = 285119714880. Its totient is φ = 24181701120.

The previous prime is 84732461819. The next prime is 84732461887. The reversal of 84732461856 is 65816423748.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 20119591 + ... + 20123801.

It is an arithmetic number, because the mean of its divisors is an integer number (1187998812).

Almost surely, 2^84732461856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84732461856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142559857440).

84732461856 is an abundant number, since it is smaller than the sum of its proper divisors (200387253024).

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

84732461856 is a wasteful number, since it uses less digits than its factorization.

84732461856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5349 (or 5332 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 84732461856 in words is "eighty-four billion, seven hundred thirty-two million, four hundred sixty-one thousand, eight hundred fifty-six".