161919679680 has 672 divisors, whose sum is σ = 659086279488. Its totient is φ = 36038246400.

The previous prime is 161919679651. The next prime is 161919679729. The reversal of 161919679680 is 86976919161.

161919679680 is a `hidden beast` number, since 1 + 619 + 1 + 9 + 6 + 7 + 9 + 6 + 8 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 22077294 + ... + 22084626.

It is an arithmetic number, because the mean of its divisors is an integer number (980783154).

Almost surely, 2^161919679680 is an apocalyptic number.

161919679680 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 161919679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329543139744).

161919679680 is an abundant number, since it is smaller than the sum of its proper divisors (497166599808).

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

161919679680 is a wasteful number, since it uses less digits than its factorization.

161919679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7425 (or 7412 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 63.

The spelling of 161919679680 in words is "one hundred sixty-one billion, nine hundred nineteen million, six hundred seventy-nine thousand, six hundred eighty".