168362979840 has 640 divisors, whose sum is σ = 660900556800. Its totient is φ = 40284241920.

The previous prime is 168362979823. The next prime is 168362979881. The reversal of 168362979840 is 48979263861.

168362979840 is a `hidden beast` number, since 1 + 68 + 362 + 97 + 98 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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, 60063879 + ... + 60066681.

It is an arithmetic number, because the mean of its divisors is an integer number (1032657120).

Almost surely, 2^168362979840 is an apocalyptic number.

168362979840 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 168362979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330450278400).

168362979840 is an abundant number, since it is smaller than the sum of its proper divisors (492537576960).

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

168362979840 is a wasteful number, since it uses less digits than its factorization.

168362979840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 168362979840 in words is "one hundred sixty-eight billion, three hundred sixty-two million, nine hundred seventy-nine thousand, eight hundred forty".