167997507840 has 288 divisors, whose sum is σ = 597558003840. Its totient is φ = 44694134784.

The previous prime is 167997507823. The next prime is 167997507889. The reversal of 167997507840 is 48705799761.

167997507840 is a `hidden beast` number, since 16 + 79 + 9 + 7 + 507 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×167997507840² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15304594 + ... + 15315566.

It is an arithmetic number, because the mean of its divisors is an integer number (2074854180).

Almost surely, 2^167997507840 is an apocalyptic number.

167997507840 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 167997507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298779001920).

167997507840 is an abundant number, since it is smaller than the sum of its proper divisors (429560496000).

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

167997507840 is a wasteful number, since it uses less digits than its factorization.

167997507840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11446 (or 11426 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 167997507840 in words is "one hundred sixty-seven billion, nine hundred ninety-seven million, five hundred seven thousand, eight hundred forty".