6121727617662 has 64 divisors (see below), whose sum is σ = 13641065280000. Its totient is φ = 2034996372864.

The previous prime is 6121727617637. The next prime is 6121727617679. The reversal of 6121727617662 is 2667167271216.

6121727617662 is a `hidden beast` number, since 6 + 1 + 2 + 17 + 2 + 7 + 617 + 6 + 6 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6121727617599 and 6121727617608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50869839 + ... + 50990037.

It is an arithmetic number, because the mean of its divisors is an integer number (213141645000).

Almost surely, 2^{6121727617662} is an apocalyptic number.

6121727617662 is an abundant number, since it is smaller than the sum of its proper divisors (7519337662338).

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

6121727617662 is a wasteful number, since it uses less digits than its factorization.

6121727617662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122782 (or 122776 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The spelling of 6121727617662 in words is "six trillion, one hundred twenty-one billion, seven hundred twenty-seven million, six hundred seventeen thousand, six hundred sixty-two".