84796348800 has 192 divisors, whose sum is σ = 279486018000. Its totient is φ = 22597140480.

The previous prime is 84796348771. The next prime is 84796348817. The reversal of 84796348800 is 884369748.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×84796348800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27809676 + ... + 27812724.

Almost surely, 2^84796348800 is an apocalyptic number.

84796348800 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 84796348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139743009000).

84796348800 is an abundant number, since it is smaller than the sum of its proper divisors (194689669200).

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

84796348800 is a wasteful number, since it uses less digits than its factorization.

84796348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5973 (or 5956 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 84796348800 in words is "eighty-four billion, seven hundred ninety-six million, three hundred forty-eight thousand, eight hundred".