164915476800 has 336 divisors, whose sum is σ = 575851446720. Its totient is φ = 41176432640.

The previous prime is 164915476777. The next prime is 164915476801. The reversal of 164915476800 is 8674519461.

It is a super-2 number, since 2×164915476800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164915476801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16070071 + ... + 16080329.

Almost surely, 2^164915476800 is an apocalyptic number.

164915476800 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 164915476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287925723360).

164915476800 is an abundant number, since it is smaller than the sum of its proper divisors (410935969920).

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

164915476800 is a wasteful number, since it uses less digits than its factorization.

164915476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10498 (or 10483 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 164915476800 in words is "one hundred sixty-four billion, nine hundred fifteen million, four hundred seventy-six thousand, eight hundred".