10671601668 has 144 divisors (see below), whose sum is σ = 30962405376. Its totient is φ = 2801036160.

The previous prime is 10671601657. The next prime is 10671601747. The reversal of 10671601668 is 86610617601.

It is a super-2 number, since 2×10671601668² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3164023 + ... + 3167393.

It is an arithmetic number, because the mean of its divisors is an integer number (215016704).

Almost surely, 2^10671601668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10671601668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15481202688).

10671601668 is an abundant number, since it is smaller than the sum of its proper divisors (20290803708).

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

10671601668 is a wasteful number, since it uses less digits than its factorization.

10671601668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 10671601668 in words is "ten billion, six hundred seventy-one million, six hundred one thousand, six hundred sixty-eight".