84668459040 has 144 divisors (see below), whose sum is σ = 315197640576. Its totient is φ = 20525683200.

The previous prime is 84668459011. The next prime is 84668459041. The reversal of 84668459040 is 4095486648.

84668459040 is a `hidden beast` number, since 8 + 4 + 6 + 6 + 8 + 4 + 590 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (84668459041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2656776 + ... + 2688455.

It is an arithmetic number, because the mean of its divisors is an integer number (2188872504).

Almost surely, 2^84668459040 is an apocalyptic number.

84668459040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84668459040 is an abundant number, since it is smaller than the sum of its proper divisors (230529181536).

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

84668459040 is a wasteful number, since it uses less digits than its factorization.

84668459040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5345263 (or 5345252 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 84668459040 in words is "eighty-four billion, six hundred sixty-eight million, four hundred fifty-nine thousand, forty".