6061813692480 has 3528 divisors, whose sum is σ = 28867412071512. Its totient is φ = 1200938876928.

The previous prime is 6061813692457. The next prime is 6061813692521. The reversal of 6061813692480 is 842963181606.

6061813692480 is a `hidden beast` number, since 6 + 0 + 6 + 181 + 369 + 24 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 238511117376 + 5823302575104 = 488376^2 + 2413152^2 .

It is a tau number, because it is divible by the number of its divisors (3528).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 53644368904 + ... + 53644369016.

Almost surely, 2^{6061813692480} is an apocalyptic number.

6061813692480 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 6061813692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14433706035756).

6061813692480 is an abundant number, since it is smaller than the sum of its proper divisors (22805598379032).

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

6061813692480 is a wasteful number, since it uses less digits than its factorization.

6061813692480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 6061813692480 in words is "six trillion, sixty-one billion, eight hundred thirteen million, six hundred ninety-two thousand, four hundred eighty".