84216430378080 has 3072 divisors, whose sum is σ = 403590375014400. Its totient is φ = 15836942499840.

The previous prime is 84216430378061. The next prime is 84216430378123. The reversal of 84216430378080 is 8087303461248.

84216430378080 is a `hidden beast` number, since 8 + 4 + 2 + 164 + 30 + 378 + 0 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 48877788099 + ... + 48877789821.

It is an arithmetic number, because the mean of its divisors is an integer number (131377075200).

Almost surely, 2^{84216430378080} is an apocalyptic number.

84216430378080 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 84216430378080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201795187507200).

84216430378080 is an abundant number, since it is smaller than the sum of its proper divisors (319373944636320).

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

84216430378080 is a wasteful number, since it uses less digits than its factorization.

84216430378080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 84216430378080 in words is "eighty-four trillion, two hundred sixteen billion, four hundred thirty million, three hundred seventy-eight thousand, eighty".