164411966640 has 80 divisors (see below), whose sum is σ = 527252191200. Its totient is φ = 42331355136.

The previous prime is 164411966627. The next prime is 164411966683. The reversal of 164411966640 is 46669114461.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×164411966640³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 164411966640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11804245 + ... + 11818164.

It is an arithmetic number, because the mean of its divisors is an integer number (6590652390).

Almost surely, 2^164411966640 is an apocalyptic number.

164411966640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164411966640 is an abundant number, since it is smaller than the sum of its proper divisors (362840224560).

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

164411966640 is a wasteful number, since it uses less digits than its factorization.

164411966640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23622454 (or 23622448 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 164411966640 in words is "one hundred sixty-four billion, four hundred eleven million, nine hundred sixty-six thousand, six hundred forty".