6401719170 has 720 divisors, whose sum is σ = 23248076544. Its totient is φ = 1257379200.

The previous prime is 6401719147. The next prime is 6401719171. The reversal of 6401719170 is 719171046.

6401719170 is a `hidden beast` number, since 640 + 1 + 7 + 1 + 9 + 1 + 7 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (6401719171) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 148877169 + ... + 148877211.

Almost surely, 2^6401719170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6401719170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11624038272).

6401719170 is an abundant number, since it is smaller than the sum of its proper divisors (16846357374).

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

6401719170 is a wasteful number, since it uses less digits than its factorization.

6401719170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 6401719170 is about 80010.7440910282. The cubic root of 6401719170 is about 1856.8017619010.

The spelling of 6401719170 in words is "six billion, four hundred one million, seven hundred nineteen thousand, one hundred seventy".