84296802206240 has 384 divisors, whose sum is σ = 221353259162112. Its totient is φ = 30134687662080.

The previous prime is 84296802206219. The next prime is 84296802206273. The reversal of 84296802206240 is 4260220869248.

It is a happy number.

It is a Cunningham number, because it is equal to 9181329²-1.

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 63 ways as a sum of consecutive naturals, for example, 24146890895 + ... + 24146894385.

It is an arithmetic number, because the mean of its divisors is an integer number (576440779068).

Almost surely, 2^{84296802206240} is an apocalyptic number.

84296802206240 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 84296802206240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110676629581056).

84296802206240 is an abundant number, since it is smaller than the sum of its proper divisors (137056456955872).

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

84296802206240 is a wasteful number, since it uses less digits than its factorization.

84296802206240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 53.

The spelling of 84296802206240 in words is "eighty-four trillion, two hundred ninety-six billion, eight hundred two million, two hundred six thousand, two hundred forty".