84347406000 has 1200 divisors, whose sum is σ = 361734076704. Its totient is φ = 18817920000.

The previous prime is 84347405971. The next prime is 84347406001. The reversal of 84347406000 is 60474348.

84347406000 is a `hidden beast` number, since 8 + 4 + 3 + 4 + 7 + 40 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×84347406000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (84347406001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 254825835 + ... + 254826165.

Almost surely, 2^84347406000 is an apocalyptic number.

84347406000 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 84347406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180867038352).

84347406000 is an abundant number, since it is smaller than the sum of its proper divisors (277386670704).

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

84347406000 is a wasteful number, since it uses less digits than its factorization.

84347406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 84347406000 in words is "eighty-four billion, three hundred forty-seven million, four hundred six thousand".