164937277440 has 672 divisors, whose sum is σ = 622866456576. Its totient is φ = 40131624960.

The previous prime is 164937277429. The next prime is 164937277457. The reversal of 164937277440 is 44772739461.

It is a happy number.

164937277440 is a `hidden beast` number, since 1 + 64 + 9 + 3 + 72 + 77 + 440 = 666.

164937277440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 608624505 + ... + 608624775.

It is an arithmetic number, because the mean of its divisors is an integer number (926884608).

Almost surely, 2^164937277440 is an apocalyptic number.

164937277440 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 164937277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311433228288).

164937277440 is an abundant number, since it is smaller than the sum of its proper divisors (457929179136).

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

164937277440 is a wasteful number, since it uses less digits than its factorization.

164937277440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 164937277440 in words is "one hundred sixty-four billion, nine hundred thirty-seven million, two hundred seventy-seven thousand, four hundred forty".