84917160720 has 360 divisors, whose sum is σ = 333681707736. Its totient is φ = 19296055296.

The previous prime is 84917160709. The next prime is 84917160739. The reversal of 84917160720 is 2706171948.

It is a happy number.

84917160720 is a `hidden beast` number, since 8 + 4 + 9 + 17 + 1 + 607 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29913777936 + 55003382784 = 172956^2 + 234528^2 .

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 6096484 + ... + 6110396.

Almost surely, 2^84917160720 is an apocalyptic number.

84917160720 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 84917160720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166840853868).

84917160720 is an abundant number, since it is smaller than the sum of its proper divisors (248764547016).

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

84917160720 is a wasteful number, since it uses less digits than its factorization.

84917160720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14119 (or 14103 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 84917160720 in words is "eighty-four billion, nine hundred seventeen million, one hundred sixty thousand, seven hundred twenty".