84134374400 has 132 divisors (see below), whose sum is σ = 209202499320. Its totient is φ = 33548697600.

The previous prime is 84134374397. The next prime is 84134374477. The reversal of 84134374400 is 447343148.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8468636 + ... + 8478564.

Almost surely, 2^84134374400 is an apocalyptic number.

84134374400 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 84134374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104601249660).

84134374400 is an abundant number, since it is smaller than the sum of its proper divisors (125068124920).

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

84134374400 is a wasteful number, since it uses less digits than its factorization.

84134374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10290 (or 10267 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The spelling of 84134374400 in words is "eighty-four billion, one hundred thirty-four million, three hundred seventy-four thousand, four hundred".