164350976400 has 1200 divisors, whose sum is σ = 673886535168. Its totient is φ = 38071296000.

The previous prime is 164350976389. The next prime is 164350976401. The reversal of 164350976400 is 4679053461.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×164350976400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (164350976401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 535345047 + ... + 535345353.

Almost surely, 2^164350976400 is an apocalyptic number.

164350976400 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 164350976400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336943267584).

164350976400 is an abundant number, since it is smaller than the sum of its proper divisors (509535558768).

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

164350976400 is a wasteful number, since it uses less digits than its factorization.

164350976400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 164350976400 in words is "one hundred sixty-four billion, three hundred fifty million, nine hundred seventy-six thousand, four hundred".