164679390400 has 168 divisors, whose sum is σ = 478041752576. Its totient is φ = 54640051200.

The previous prime is 164679390391. The next prime is 164679390409. The reversal of 164679390400 is 4093976461.

It is an interprime number because it is at equal distance from previous prime (164679390391) and next prime (164679390409).

It is a super-2 number, since 2×164679390400² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164679390409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110047 + ... + 584353.

Almost surely, 2^164679390400 is an apocalyptic number.

164679390400 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 164679390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239020876288).

164679390400 is an abundant number, since it is smaller than the sum of its proper divisors (313362362176).

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

164679390400 is a wasteful number, since it uses less digits than its factorization.

164679390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474367 (or 474352 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

The spelling of 164679390400 in words is "one hundred sixty-four billion, six hundred seventy-nine million, three hundred ninety thousand, four hundred".