84006399067272 has 192 divisors, whose sum is σ = 248934237552000. Its totient is φ = 25381276646400.

The previous prime is 84006399067259. The next prime is 84006399067289. The reversal of 84006399067272 is 27276099360048.

84006399067272 is a `hidden beast` number, since 8 + 400 + 6 + 3 + 9 + 90 + 6 + 72 + 72 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1945066254 + ... + 1945109442.

It is an arithmetic number, because the mean of its divisors is an integer number (1296532487250).

Almost surely, 2^{84006399067272} 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 84006399067272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124467118776000).

84006399067272 is an abundant number, since it is smaller than the sum of its proper divisors (164927838484728).

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

84006399067272 is a wasteful number, since it uses less digits than its factorization.

84006399067272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50412 (or 50405 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 84006399067272 in words is "eighty-four trillion, six billion, three hundred ninety-nine million, sixty-seven thousand, two hundred seventy-two".