164683471680000 has 7200 divisors, whose sum is σ = 824921601888384. Its totient is φ = 31818645504000.

The previous prime is 164683471679977. The next prime is 164683471680019. The reversal of 164683471680000 is 86174386461.

164683471680000 is a `hidden beast` number, since 1 + 6 + 468 + 34 + 71 + 6 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 4450904639982 + ... + 4450904640018.

Almost surely, 2^{164683471680000} is an apocalyptic number.

164683471680000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164683471680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412460800944192).

164683471680000 is an abundant number, since it is smaller than the sum of its proper divisors (660238130208384).

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

164683471680000 is an frugal number, since it uses more digits than its factorization.

164683471680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 164683471680000 in words is "one hundred sixty-four trillion, six hundred eighty-three billion, four hundred seventy-one million, six hundred eighty thousand".