167520006740 has 72 divisors (see below), whose sum is σ = 372730681512. Its totient is φ = 63233556480.

The previous prime is 167520006737. The next prime is 167520006757. The reversal of 167520006740 is 47600025761.

It can be written as a sum of positive squares in 4 ways, for example, as 65169920656 + 102350086084 = 255284^2 + 319922^2 .

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 167520006694 and 167520006703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1810400 + ... + 1900680.

It is an arithmetic number, because the mean of its divisors is an integer number (5176815021).

Almost surely, 2^167520006740 is an apocalyptic number.

167520006740 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 167520006740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186365340756).

167520006740 is an abundant number, since it is smaller than the sum of its proper divisors (205210674772).

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

167520006740 is a wasteful number, since it uses less digits than its factorization.

167520006740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90585 (or 90564 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The spelling of 167520006740 in words is "one hundred sixty-seven billion, five hundred twenty million, six thousand, seven hundred forty".