84646976400 has 600 divisors, whose sum is σ = 355697067264. Its totient is φ = 18873907200.

The previous prime is 84646976357. The next prime is 84646976423. The reversal of 84646976400 is 467964648.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×84646976400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 9294249 + ... + 9303351.

Almost surely, 2^84646976400 is an apocalyptic number.

84646976400 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 84646976400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177848533632).

84646976400 is an abundant number, since it is smaller than the sum of its proper divisors (271050090864).

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

84646976400 is a wasteful number, since it uses less digits than its factorization.

84646976400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9181 (or 9161 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 84646976400 in words is "eighty-four billion, six hundred forty-six million, nine hundred seventy-six thousand, four hundred".