77537460701657 has 8 divisors (see below), whose sum is σ = 85154014195200. Its totient is φ = 70015522779760.

The previous prime is 77537460701653. The next prime is 77537460701669. The reversal of 77537460701657 is 75610706473577.

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

It is a cyclic number.

It is not a de Polignac number, because 77537460701657 - 2² = 77537460701653 is a prime.

It is a super-4 number, since 4×77537460701657⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77537460701593 and 77537460701602.

It is not an unprimeable number, because it can be changed into a prime (77537460701653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23653891193 + ... + 23653894470.

It is an arithmetic number, because the mean of its divisors is an integer number (10644251774400).

Almost surely, 2^{77537460701657} is an apocalyptic number.

It is an amenable number.

77537460701657 is a deficient number, since it is larger than the sum of its proper divisors (7616553493543).

77537460701657 is a wasteful number, since it uses less digits than its factorization.

77537460701657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47307785823.

The product of its (nonzero) digits is 181515600, while the sum is 65.

The spelling of 77537460701657 in words is "seventy-seven trillion, five hundred thirty-seven billion, four hundred sixty million, seven hundred one thousand, six hundred fifty-seven".