10670164164 has 144 divisors (see below), whose sum is σ = 30873024000. Its totient is φ = 3077568000.

The previous prime is 10670164139. The next prime is 10670164199. The reversal of 10670164164 is 46146107601.

It is a happy number.

10670164164 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 0 + 1 + 641 + 6 + 4 = 666.

It is a super-2 number, since 2×10670164164² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 741712 + ... + 755960.

It is an arithmetic number, because the mean of its divisors is an integer number (214396000).

Almost surely, 2^10670164164 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 10670164164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15436512000).

10670164164 is an abundant number, since it is smaller than the sum of its proper divisors (20202859836).

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

10670164164 is a wasteful number, since it uses less digits than its factorization.

10670164164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14362 (or 14357 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10670164164 in words is "ten billion, six hundred seventy million, one hundred sixty-four thousand, one hundred sixty-four".