84364076406720 has 224 divisors, whose sum is σ = 292249187976960. Its totient is φ = 20448908328960.

The previous prime is 84364076406703. The next prime is 84364076406733. The reversal of 84364076406720 is 2760467046348.

It is a happy number.

It is a super-3 number, since 3×84364076406720³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 31 ways as a sum of consecutive naturals, for example, 72104136 + ... + 73264824.

Almost surely, 2^{84364076406720} is an apocalyptic number.

84364076406720 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 84364076406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146124593988480).

84364076406720 is an abundant number, since it is smaller than the sum of its proper divisors (207885111570240).

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

84364076406720 is a wasteful number, since it uses less digits than its factorization.

84364076406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167603 (or 1167593 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 57.

The spelling of 84364076406720 in words is "eighty-four trillion, three hundred sixty-four billion, seventy-six million, four hundred six thousand, seven hundred twenty".