84178406400 has 264 divisors, whose sum is σ = 303509246784. Its totient is φ = 20406681600.

The previous prime is 84178406359. The next prime is 84178406423. The reversal of 84178406400 is 460487148.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

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, 794979 + ... + 894621.

Almost surely, 2^84178406400 is an apocalyptic number.

84178406400 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 84178406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151754623392).

84178406400 is an abundant number, since it is smaller than the sum of its proper divisors (219330840384).

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

84178406400 is a wasteful number, since it uses less digits than its factorization.

84178406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99687 (or 99664 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 84178406400 in words is "eighty-four billion, one hundred seventy-eight million, four hundred six thousand, four hundred".