6061919719680 has 1296 divisors, whose sum is σ = 23955903801648. Its totient is φ = 1413100339200.

The previous prime is 6061919719631. The next prime is 6061919719727. The reversal of 6061919719680 is 869179191606.

6061919719680 is a `hidden beast` number, since 6 + 0 + 619 + 1 + 9 + 7 + 1 + 9 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 160579584 + 6061759140096 = 12672^2 + 2462064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4172001834 + ... + 4172003286.

Almost surely, 2^{6061919719680} is an apocalyptic number.

6061919719680 is a gapful number since it is divisible by the number (60) 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 6061919719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11977951900824).

6061919719680 is an abundant number, since it is smaller than the sum of its proper divisors (17893984081968).

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

6061919719680 is a wasteful number, since it uses less digits than its factorization.

6061919719680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1588 counting only the distinct ones).

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

The spelling of 6061919719680 in words is "six trillion, sixty-one billion, nine hundred nineteen million, seven hundred nineteen thousand, six hundred eighty".