77490413641 has 15 divisors (see below), whose sum is σ = 80501128113. Its totient is φ = 74592293160.

The previous prime is 77490413621. The next prime is 77490413677. The reversal of 77490413641 is 14631409477.

The square root of 77490413641 is 278371.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 184172041 + 77306241600 = 13571^2 + 278040^2 .

It is not a de Polignac number, because 77490413641 - 2⁹ = 77490413129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77490413591 and 77490413600.

It is not an unprimeable number, because it can be changed into a prime (77490413621) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 234109846 + ... + 234110176.

Almost surely, 2^77490413641 is an apocalyptic number.

77490413641 is the 278371-st square number.

77490413641 is the 139186-th centered octagonal number.

It is an amenable number.

77490413641 is a deficient number, since it is larger than the sum of its proper divisors (3010714472).

77490413641 is an frugal number, since it uses more digits than its factorization.

77490413641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 77490413641 in words is "seventy-seven billion, four hundred ninety million, four hundred thirteen thousand, six hundred forty-one".