6121732772467 has 24 divisors (see below), whose sum is σ = 6649522404000. Its totient is φ = 5633223418368.

The previous prime is 6121732772453. The next prime is 6121732772473. The reversal of 6121732772467 is 7642772371216.

It is not a de Polignac number, because 6121732772467 - 2⁷ = 6121732772339 is a prime.

It is a super-3 number, since 3×6121732772467³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6121732772417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289173259 + ... + 289194427.

It is an arithmetic number, because the mean of its divisors is an integer number (277063433500).

Almost surely, 2^{6121732772467} is an apocalyptic number.

6121732772467 is a deficient number, since it is larger than the sum of its proper divisors (527789631533).

6121732772467 is a wasteful number, since it uses less digits than its factorization.

6121732772467 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26447 (or 26434 counting only the distinct ones).

The product of its digits is 8297856, while the sum is 55.

The spelling of 6121732772467 in words is "six trillion, one hundred twenty-one billion, seven hundred thirty-two million, seven hundred seventy-two thousand, four hundred sixty-seven".