162748607840 has 1152 divisors, whose sum is σ = 547302873600. Its totient is φ = 45086146560.

The previous prime is 162748607837. The next prime is 162748607887. The reversal of 162748607840 is 48706847261.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2060108921 + ... + 2060108999.

It is an arithmetic number, because the mean of its divisors is an integer number (475089300).

Almost surely, 2^162748607840 is an apocalyptic number.

162748607840 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 162748607840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273651436800).

162748607840 is an abundant number, since it is smaller than the sum of its proper divisors (384554265760).

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

162748607840 is a wasteful number, since it uses less digits than its factorization.

162748607840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 53.

The spelling of 162748607840 in words is "one hundred sixty-two billion, seven hundred forty-eight million, six hundred seven thousand, eight hundred forty".