167224720896 has 240 divisors, whose sum is σ = 511894468800. Its totient is φ = 52372045824.

The previous prime is 167224720891. The next prime is 167224720939. The reversal of 167224720896 is 698027422761.

167224720896 is a `hidden beast` number, since 1 + 67 + 22 + 472 + 0 + 8 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167224720891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56322100 + ... + 56325068.

It is an arithmetic number, because the mean of its divisors is an integer number (2132893620).

Almost surely, 2^167224720896 is an apocalyptic number.

167224720896 is a gapful number since it is divisible by the number (16) 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 167224720896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255947234400).

167224720896 is an abundant number, since it is smaller than the sum of its proper divisors (344669747904).

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

167224720896 is a wasteful number, since it uses less digits than its factorization.

167224720896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729 (or 3710 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 167224720896 in words is "one hundred sixty-seven billion, two hundred twenty-four million, seven hundred twenty thousand, eight hundred ninety-six".