7677491014728 has 80 divisors (see below), whose sum is σ = 22028573550060. Its totient is φ = 2496745036800.

The previous prime is 7677491014727. The next prime is 7677491014741. The reversal of 7677491014728 is 8274101947767.

7677491014728 is a `hidden beast` number, since 7 + 6 + 7 + 74 + 91 + 0 + 1 + 472 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7662942312804 + 14548701924 = 2768202^2 + 120618^2 .

It is a super-2 number, since 2×7677491014728² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7677491014727) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144460993 + ... + 144514128.

Almost surely, 2^{7677491014728} is an apocalyptic number.

It is an amenable number.

7677491014728 is an abundant number, since it is smaller than the sum of its proper divisors (14351082535332).

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

7677491014728 is a wasteful number, since it uses less digits than its factorization.

7677491014728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288975180 (or 288975167 counting only the distinct ones).

The product of its (nonzero) digits is 33191424, while the sum is 63.

The spelling of 7677491014728 in words is "seven trillion, six hundred seventy-seven billion, four hundred ninety-one million, fourteen thousand, seven hundred twenty-eight".