164060078400 has 168 divisors, whose sum is σ = 598059906240. Its totient is φ = 43749342720.

The previous prime is 164060078317. The next prime is 164060078417. The reversal of 164060078400 is 4870060461.

164060078400 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 600 + 7 + 8 + 40 + 0 = 666.

It is a super-2 number, since 2×164060078400² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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, 1855644 + ... + 1942043.

Almost surely, 2^164060078400 is an apocalyptic number.

164060078400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164060078400 is an abundant number, since it is smaller than the sum of its proper divisors (433999827840).

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

164060078400 is a wasteful number, since it uses less digits than its factorization.

164060078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3797718 (or 3797697 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 164060078400 in words is "one hundred sixty-four billion, sixty million, seventy-eight thousand, four hundred".