164747480040 has 768 divisors, whose sum is σ = 669888921600. Its totient is φ = 35663846400.

The previous prime is 164747480017. The next prime is 164747480047. The reversal of 164747480040 is 40084747461.

It is a happy number.

164747480040 is a `hidden beast` number, since 1 + 64 + 7 + 474 + 80 + 0 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (164747480047) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62237997 + ... + 62240643.

It is an arithmetic number, because the mean of its divisors is an integer number (872251200).

Almost surely, 2^164747480040 is an apocalyptic number.

164747480040 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 164747480040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334944460800).

164747480040 is an abundant number, since it is smaller than the sum of its proper divisors (505141441560).

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

164747480040 is a wasteful number, since it uses less digits than its factorization.

164747480040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 164747480040 in words is "one hundred sixty-four billion, seven hundred forty-seven million, four hundred eighty thousand, forty".