84785706720 has 720 divisors, whose sum is σ = 354282888960. Its totient is φ = 18968463360.

The previous prime is 84785706631. The next prime is 84785706727. The reversal of 84785706720 is 2760758748.

It is a happy number.

84785706720 is a `hidden beast` number, since 8 + 4 + 7 + 8 + 570 + 67 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84785706727) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20384001 + ... + 20388159.

It is an arithmetic number, because the mean of its divisors is an integer number (492059568).

Almost surely, 2^84785706720 is an apocalyptic number.

84785706720 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 84785706720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177141444480).

84785706720 is an abundant number, since it is smaller than the sum of its proper divisors (269497182240).

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

84785706720 is a wasteful number, since it uses less digits than its factorization.

84785706720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4221 (or 4193 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 84785706720 in words is "eighty-four billion, seven hundred eighty-five million, seven hundred six thousand, seven hundred twenty".