84352104720 has 360 divisors, whose sum is σ = 307763426880. Its totient is φ = 20695034880.

The previous prime is 84352104703. The next prime is 84352104731. The reversal of 84352104720 is 2740125348.

It is a happy number.

84352104720 is a `hidden beast` number, since 8 + 435 + 210 + 4 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43682155 + ... + 43684085.

It is an arithmetic number, because the mean of its divisors is an integer number (854898408).

Almost surely, 2^84352104720 is an apocalyptic number.

84352104720 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 84352104720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153881713440).

84352104720 is an abundant number, since it is smaller than the sum of its proper divisors (223411322160).

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

84352104720 is a wasteful number, since it uses less digits than its factorization.

84352104720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 84352104720 in words is "eighty-four billion, three hundred fifty-two million, one hundred four thousand, seven hundred twenty".