84001727689488 has 240 divisors, whose sum is σ = 279039286056960. Its totient is φ = 23091711093504.

The previous prime is 84001727689483. The next prime is 84001727689513. The reversal of 84001727689488 is 88498672710048.

84001727689488 is a `hidden beast` number, since 8 + 4 + 0 + 0 + 1 + 72 + 76 + 8 + 9 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (84001727689483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12230970 + ... + 17821337.

It is an arithmetic number, because the mean of its divisors is an integer number (1162663691904).

Almost surely, 2^{84001727689488} is an apocalyptic number.

It is an amenable number.

84001727689488 is an abundant number, since it is smaller than the sum of its proper divisors (195037558367472).

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

84001727689488 is a wasteful number, since it uses less digits than its factorization.

84001727689488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30052434 (or 30052425 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 72.

The spelling of 84001727689488 in words is "eighty-four trillion, one billion, seven hundred twenty-seven million, six hundred eighty-nine thousand, four hundred eighty-eight".