164405150640 has 120 divisors (see below), whose sum is σ = 552304993968. Its totient is φ = 43827264000.

The previous prime is 164405150629. The next prime is 164405150647. The reversal of 164405150640 is 46051504461.

164405150640 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 0 + 5 + 1 + 5 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×164405150640³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 164405150595 and 164405150604.

It is not an unprimeable number, because it can be changed into a prime (164405150647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2305602 + ... + 2375838.

Almost surely, 2^164405150640 is an apocalyptic number.

164405150640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164405150640 is an abundant number, since it is smaller than the sum of its proper divisors (387899843328).

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

164405150640 is a wasteful number, since it uses less digits than its factorization.

164405150640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73507 (or 73498 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 164405150640 in words is "one hundred sixty-four billion, four hundred five million, one hundred fifty thousand, six hundred forty".