167410800480 has 384 divisors, whose sum is σ = 658226580480. Its totient is φ = 34746531840.

The previous prime is 167410800443. The next prime is 167410800481. The reversal of 167410800480 is 84008014761.

It is a super-2 number, since 2×167410800480² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167410800481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40543056 + ... + 40547184.

It is an arithmetic number, because the mean of its divisors is an integer number (1714131720).

Almost surely, 2^167410800480 is an apocalyptic number.

167410800480 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 167410800480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329113290240).

167410800480 is an abundant number, since it is smaller than the sum of its proper divisors (490815780000).

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

167410800480 is a wasteful number, since it uses less digits than its factorization.

167410800480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5262 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 167410800480 in words is "one hundred sixty-seven billion, four hundred ten million, eight hundred thousand, four hundred eighty".