84287874000 has 240 divisors, whose sum is σ = 298696507200. Its totient is φ = 20433248000.

The previous prime is 84287873983. The next prime is 84287874061. The reversal of 84287874000 is 47878248.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 667951 + ... + 784049.

It is an arithmetic number, because the mean of its divisors is an integer number (1244568780).

Almost surely, 2^84287874000 is an apocalyptic number.

84287874000 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 84287874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149348253600).

84287874000 is an abundant number, since it is smaller than the sum of its proper divisors (214408633200).

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

84287874000 is a wasteful number, since it uses less digits than its factorization.

84287874000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116147 (or 116120 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 48.

The spelling of 84287874000 in words is "eighty-four billion, two hundred eighty-seven million, eight hundred seventy-four thousand".