84029414464 has 56 divisors (see below), whose sum is σ = 173256488640. Its totient is φ = 40387017216.

The previous prime is 84029414387. The next prime is 84029414471. The reversal of 84029414464 is 46441492048.

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 7 ways as a sum of consecutive naturals, for example, 321589 + ... + 521035.

Almost surely, 2^84029414464 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 84029414464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86628244320).

84029414464 is an abundant number, since it is smaller than the sum of its proper divisors (89227074176).

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

84029414464 is a wasteful number, since it uses less digits than its factorization.

84029414464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199715 (or 199705 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 46.

The spelling of 84029414464 in words is "eighty-four billion, twenty-nine million, four hundred fourteen thousand, four hundred sixty-four".