164635570440 has 1024 divisors, whose sum is σ = 672592896000. Its totient is φ = 35394416640.

The previous prime is 164635570403. The next prime is 164635570493. The reversal of 164635570440 is 44075536461.

164635570440 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 35 + 570 + 4 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2457247287 + ... + 2457247353.

It is an arithmetic number, because the mean of its divisors is an integer number (656829000).

Almost surely, 2^164635570440 is an apocalyptic number.

164635570440 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 164635570440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336296448000).

164635570440 is an abundant number, since it is smaller than the sum of its proper divisors (507957325560).

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

164635570440 is a wasteful number, since it uses less digits than its factorization.

164635570440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 164635570440 in words is "one hundred sixty-four billion, six hundred thirty-five million, five hundred seventy thousand, four hundred forty".