84040538967360 has 336 divisors, whose sum is σ = 304538431978560. Its totient is φ = 21213146972160.

The previous prime is 84040538967337. The next prime is 84040538967383. The reversal of 84040538967360 is 6376983504048.

84040538967360 is a `hidden beast` number, since 8 + 4 + 0 + 4 + 0 + 538 + 9 + 67 + 36 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (84040538967337) and next prime (84040538967383).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63421344 + ... + 64732896.

Almost surely, 2^{84040538967360} is an apocalyptic number.

84040538967360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84040538967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152269215989280).

84040538967360 is an abundant number, since it is smaller than the sum of its proper divisors (220497893011200).

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

84040538967360 is a wasteful number, since it uses less digits than its factorization.

84040538967360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312766 (or 1312753 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 84040538967360 in words is "eighty-four trillion, forty billion, five hundred thirty-eight million, nine hundred sixty-seven thousand, three hundred sixty".