168422768640 has 1280 divisors, whose sum is σ = 723191832000. Its totient is φ = 37456183296.

The previous prime is 168422768609. The next prime is 168422768653. The reversal of 168422768640 is 46867224861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

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 79 ways as a sum of consecutive naturals, for example, 4551966702 + ... + 4551966738.

Almost surely, 2^168422768640 is an apocalyptic number.

168422768640 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 168422768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361595916000).

168422768640 is an abundant number, since it is smaller than the sum of its proper divisors (554769063360).

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

168422768640 is an frugal number, since it uses more digits than its factorization.

168422768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 168422768640 in words is "one hundred sixty-eight billion, four hundred twenty-two million, seven hundred sixty-eight thousand, six hundred forty".