164400736320 has 168 divisors, whose sum is σ = 586413644544. Its totient is φ = 43840175616.

The previous prime is 164400736319. The next prime is 164400736373. The reversal of 164400736320 is 23637004461.

It is a happy number.

164400736320 is a `hidden beast` number, since 1 + 644 + 0 + 0 + 7 + 3 + 6 + 3 + 2 + 0 = 666.

It is a super-3 number, since 3×164400736320³ (a number of 35 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 979344 + ... + 1134863.

It is an arithmetic number, because the mean of its divisors is an integer number (3490557408).

Almost surely, 2^164400736320 is an apocalyptic number.

164400736320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164400736320 is an abundant number, since it is smaller than the sum of its proper divisors (422012908224).

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

164400736320 is an equidigital number, since it uses as much as digits as its factorization.

164400736320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114239 (or 2114217 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 164400736320 in words is "one hundred sixty-four billion, four hundred million, seven hundred thirty-six thousand, three hundred twenty".