167620012560 has 720 divisors, whose sum is σ = 761575756032. Its totient is φ = 32149370880.

The previous prime is 167620012493. The next prime is 167620012583. The reversal of 167620012560 is 65210026761.

It is a happy number.

167620012560 is a `hidden beast` number, since 1 + 6 + 7 + 620 + 0 + 1 + 25 + 6 + 0 = 666.

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

It is a super-2 number, since 2×167620012560² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7917349 + ... + 7938491.

Almost surely, 2^167620012560 is an apocalyptic number.

167620012560 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 167620012560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380787878016).

167620012560 is an abundant number, since it is smaller than the sum of its proper divisors (593955743472).

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

167620012560 is a wasteful number, since it uses less digits than its factorization.

167620012560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21204 (or 21184 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 167620012560 in words is "one hundred sixty-seven billion, six hundred twenty million, twelve thousand, five hundred sixty".