167464242000 has 720 divisors, whose sum is σ = 671056049664. Its totient is φ = 38820672000.

The previous prime is 167464241983. The next prime is 167464242007. The reversal of 167464242000 is 242464761.

167464242000 is a `hidden beast` number, since 1 + 6 + 7 + 4 + 642 + 4 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167464242007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50092329 + ... + 50095671.

Almost surely, 2^167464242000 is an apocalyptic number.

167464242000 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 167464242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335528024832).

167464242000 is an abundant number, since it is smaller than the sum of its proper divisors (503591807664).

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

167464242000 is a wasteful number, since it uses less digits than its factorization.

167464242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 167464242000 in words is "one hundred sixty-seven billion, four hundred sixty-four million, two hundred forty-two thousand".