201706078080 has 512 divisors, whose sum is σ = 724723937280. Its totient is φ = 47377612800.

The previous prime is 201706078073. The next prime is 201706078117. The reversal of 201706078080 is 80870607102.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56482695 + ... + 56486265.

It is an arithmetic number, because the mean of its divisors is an integer number (1415476440).

Almost surely, 2^201706078080 is an apocalyptic number.

201706078080 is a gapful number since it is divisible by the number (20) 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 201706078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362361968640).

201706078080 is an abundant number, since it is smaller than the sum of its proper divisors (523017859200).

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

201706078080 is a wasteful number, since it uses less digits than its factorization.

201706078080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The spelling of 201706078080 in words is "two hundred one billion, seven hundred six million, seventy-eight thousand, eighty".