7677773704101 has 8 divisors (see below), whose sum is σ = 10237335050944. Its totient is φ = 5118364080000.

The previous prime is 7677773704091. The next prime is 7677773704109. The reversal of 7677773704101 is 1014073777767.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 7677773704101 - 2¹⁰ = 7677773703077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7677773704109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37812556 + ... + 38015061.

It is an arithmetic number, because the mean of its divisors is an integer number (1279666881368).

Almost surely, 2^{7677773704101} is an apocalyptic number.

It is an amenable number.

7677773704101 is a deficient number, since it is larger than the sum of its proper divisors (2559561346843).

7677773704101 is a wasteful number, since it uses less digits than its factorization.

7677773704101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75861371.

The product of its (nonzero) digits is 8470728, while the sum is 57.

It can be divided in two parts, 76777 and 73704101, that added together give a triangular number (73780878 = T₁₂₁₄₇).

The spelling of 7677773704101 in words is "seven trillion, six hundred seventy-seven billion, seven hundred seventy-three million, seven hundred four thousand, one hundred one".