164772963000 has 192 divisors, whose sum is σ = 560943583200. Its totient is φ = 43623014400.

The previous prime is 164772962989. The next prime is 164772963007. The reversal of 164772963000 is 369277461.

164772963000 is a `hidden beast` number, since 1 + 6 + 4 + 7 + 7 + 2 + 9 + 630 + 0 + 0 = 666.

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 (164772963007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1185144 + ... + 1316856.

Almost surely, 2^164772963000 is an apocalyptic number.

164772963000 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 164772963000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280471791600).

164772963000 is an abundant number, since it is smaller than the sum of its proper divisors (396170620200).

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

164772963000 is a wasteful number, since it uses less digits than its factorization.

164772963000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131879 (or 131862 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 164772963000 in words is "one hundred sixty-four billion, seven hundred seventy-two million, nine hundred sixty-three thousand".