164078307540 has 288 divisors, whose sum is σ = 595084299264. Its totient is φ = 35809873920.

The previous prime is 164078307509. The next prime is 164078307541. The reversal of 164078307540 is 45703870461.

164078307540 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 78 + 30 + 7 + 540 = 666.

164078307540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164078307541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2394232 + ... + 2461808.

It is an arithmetic number, because the mean of its divisors is an integer number (2066264928).

Almost surely, 2^164078307540 is an apocalyptic number.

164078307540 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 164078307540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297542149632).

164078307540 is an abundant number, since it is smaller than the sum of its proper divisors (431005991724).

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

164078307540 is a wasteful number, since it uses less digits than its factorization.

164078307540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67687 (or 67682 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 164078307540 in words is "one hundred sixty-four billion, seventy-eight million, three hundred seven thousand, five hundred forty".