164129506640 has 320 divisors, whose sum is σ = 439686144000. Its totient is φ = 56429936640.

The previous prime is 164129506627. The next prime is 164129506657. The reversal of 164129506640 is 46605921461.

It is a Cunningham number, because it is equal to 405129²-1.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 164129506591 and 164129506600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 288452276 + ... + 288452844.

It is an arithmetic number, because the mean of its divisors is an integer number (1374019200).

Almost surely, 2^164129506640 is an apocalyptic number.

164129506640 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 164129506640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219843072000).

164129506640 is an abundant number, since it is smaller than the sum of its proper divisors (275556637360).

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

164129506640 is a wasteful number, since it uses less digits than its factorization.

164129506640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 164129506640 in words is "one hundred sixty-four billion, one hundred twenty-nine million, five hundred six thousand, six hundred forty".