167542921328640 has 3072 divisors, whose sum is σ = 671050933862400. Its totient is φ = 35130389299200.

The previous prime is 167542921328597. The next prime is 167542921328719. The reversal of 167542921328640 is 46823129245761.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 1003251025837 + ... + 1003251026003.

It is an arithmetic number, because the mean of its divisors is an integer number (218441059200).

It is a 1-persistent number, because it is pandigital, but 2⋅167542921328640 = 335085842657280 is not.

Almost surely, 2^{167542921328640} is an apocalyptic number.

167542921328640 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 167542921328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335525466931200).

167542921328640 is an abundant number, since it is smaller than the sum of its proper divisors (503508012533760).

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

167542921328640 is a wasteful number, since it uses less digits than its factorization.

167542921328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 167542921328640 in words is "one hundred sixty-seven trillion, five hundred forty-two billion, nine hundred twenty-one million, three hundred twenty-eight thousand, six hundred forty".