84284734464 has 352 divisors, whose sum is σ = 300296537600. Its totient is φ = 22812917760.

The previous prime is 84284734451. The next prime is 84284734487. The reversal of 84284734464 is 46443748248.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 84284734464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3665724 + ... + 3688644.

Almost surely, 2^84284734464 is an apocalyptic number.

84284734464 is a gapful number since it is divisible by the number (84) 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 84284734464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150148268800).

84284734464 is an abundant number, since it is smaller than the sum of its proper divisors (216011803136).

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

84284734464 is a wasteful number, since it uses less digits than its factorization.

84284734464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22976 (or 22952 counting only the distinct ones).

The product of its digits is 16515072, while the sum is 54.

The spelling of 84284734464 in words is "eighty-four billion, two hundred eighty-four million, seven hundred thirty-four thousand, four hundred sixty-four".