171700077640 has 128 divisors (see below), whose sum is σ = 475635928320. Its totient is φ = 54322099200.

The previous prime is 171700077617. The next prime is 171700077649. The reversal of 171700077640 is 46770007171.

171700077640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 171700077593 and 171700077602.

It is not an unprimeable number, because it can be changed into a prime (171700077649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14630575 + ... + 14642305.

It is an arithmetic number, because the mean of its divisors is an integer number (3715905690).

Almost surely, 2^171700077640 is an apocalyptic number.

171700077640 is a gapful number since it is divisible by the number (10) 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 171700077640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237817964160).

171700077640 is an abundant number, since it is smaller than the sum of its proper divisors (303935850680).

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

171700077640 is a wasteful number, since it uses less digits than its factorization.

171700077640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15783 (or 15779 counting only the distinct ones).

The product of its (nonzero) digits is 57624, while the sum is 40.

The spelling of 171700077640 in words is "one hundred seventy-one billion, seven hundred million, seventy-seven thousand, six hundred forty".