84677430000 has 400 divisors, whose sum is σ = 285827705856. Its totient is φ = 21569280000.

The previous prime is 84677429983. The next prime is 84677430023. The reversal of 84677430000 is 3477648.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

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 79 ways as a sum of consecutive naturals, for example, 77189452 + ... + 77190548.

Almost surely, 2^84677430000 is an apocalyptic number.

84677430000 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 84677430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142913852928).

84677430000 is an abundant number, since it is smaller than the sum of its proper divisors (201150275856).

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

84677430000 is a wasteful number, since it uses less digits than its factorization.

84677430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 84677430000 in words is "eighty-four billion, six hundred seventy-seven million, four hundred thirty thousand".