84027601184832 has 448 divisors, whose sum is σ = 263777614663680. Its totient is φ = 26138391552000.

The previous prime is 84027601184819. The next prime is 84027601184881. The reversal of 84027601184832 is 23848110672048.

84027601184832 is a `hidden beast` number, since 8 + 4 + 0 + 27 + 601 + 1 + 8 + 4 + 8 + 3 + 2 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2426352157 + ... + 2426386787.

Almost surely, 2^{84027601184832} 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 84027601184832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131888807331840).

84027601184832 is an abundant number, since it is smaller than the sum of its proper divisors (179750013478848).

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

84027601184832 is a wasteful number, since it uses less digits than its factorization.

84027601184832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35367 (or 35351 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 84027601184832 in words is "eighty-four trillion, twenty-seven billion, six hundred one million, one hundred eighty-four thousand, eight hundred thirty-two".