164076710400 has 1440 divisors, whose sum is σ = 673218786240. Its totient is φ = 39388446720.

The previous prime is 164076710377. The next prime is 164076710401. The reversal of 164076710400 is 4017670461.

164076710400 is a `hidden beast` number, since 1 + 640 + 7 + 6 + 7 + 1 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164076710401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1533427147 + ... + 1533427253.

It is an arithmetic number, because the mean of its divisors is an integer number (467513046).

Almost surely, 2^164076710400 is an apocalyptic number.

164076710400 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 164076710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336609393120).

164076710400 is an abundant number, since it is smaller than the sum of its proper divisors (509142075840).

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

164076710400 is a wasteful number, since it uses less digits than its factorization.

164076710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 164076710400 in words is "one hundred sixty-four billion, seventy-six million, seven hundred ten thousand, four hundred".