164029741424640 has 7168 divisors, whose sum is σ = 803244072960000. Its totient is φ = 31463193968640.

The previous prime is 164029741424629. The next prime is 164029741424699. The reversal of 164029741424640 is 46424147920461.

164029741424640 is a `hidden beast` number, since 1 + 6 + 402 + 97 + 4 + 142 + 4 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7168).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 4433236254702 + ... + 4433236254738.

It is an arithmetic number, because the mean of its divisors is an integer number (112059720000).

Almost surely, 2^{164029741424640} is an apocalyptic number.

164029741424640 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 164029741424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401622036480000).

164029741424640 is an abundant number, since it is smaller than the sum of its proper divisors (639214331535360).

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

164029741424640 is a wasteful number, since it uses less digits than its factorization.

164029741424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 164029741424640 in words is "one hundred sixty-four trillion, twenty-nine billion, seven hundred forty-one million, four hundred twenty-four thousand, six hundred forty".