167621447680 has 104 divisors (see below), whose sum is σ = 416114267400. Its totient is φ = 64736329728.

The previous prime is 167621447641. The next prime is 167621447687. The reversal of 167621447680 is 86744126761.

It can be written as a sum of positive squares in 4 ways, for example, as 22027309056 + 145594138624 = 148416^2 + 381568^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167621447687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 452806 + ... + 735034.

It is an arithmetic number, because the mean of its divisors is an integer number (4001098725).

Almost surely, 2^167621447680 is an apocalyptic number.

167621447680 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 167621447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208057133700).

167621447680 is an abundant number, since it is smaller than the sum of its proper divisors (248492819720).

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

167621447680 is an equidigital number, since it uses as much as digits as its factorization.

167621447680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282287 (or 282265 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 167621447680 in words is "one hundred sixty-seven billion, six hundred twenty-one million, four hundred forty-seven thousand, six hundred eighty".