84289766400 has 660 divisors, whose sum is σ = 356764391808. Its totient is φ = 19262914560.

The previous prime is 84289766399. The next prime is 84289766411. The reversal of 84289766400 is 466798248.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14512297 + ... + 14518103.

Almost surely, 2^84289766400 is an apocalyptic number.

84289766400 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 84289766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178382195904).

84289766400 is an abundant number, since it is smaller than the sum of its proper divisors (272474625408).

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

84289766400 is a wasteful number, since it uses less digits than its factorization.

84289766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5856 (or 5824 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 84289766400 in words is "eighty-four billion, two hundred eighty-nine million, seven hundred sixty-six thousand, four hundred".