61627720571667 has 16 divisors (see below), whose sum is σ = 91313996800000. Its totient is φ = 41078995535592.

The previous prime is 61627720571663. The next prime is 61627720571671. The reversal of 61627720571667 is 76617502772616.

61627720571667 is a `hidden beast` number, since 6 + 16 + 27 + 7 + 20 + 571 + 6 + 6 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (61627720571663) and next prime (61627720571671).

It is not a de Polignac number, because 61627720571667 - 2² = 61627720571663 is a prime.

It is a super-3 number, since 3×61627720571667³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61627720571663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170691667 + ... + 171052332.

It is an arithmetic number, because the mean of its divisors is an integer number (5707124800000).

Almost surely, 2^{61627720571667} is an apocalyptic number.

61627720571667 is a deficient number, since it is larger than the sum of its proper divisors (29686276228333).

61627720571667 is a wasteful number, since it uses less digits than its factorization.

61627720571667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341750687 (or 341750681 counting only the distinct ones).

The product of its (nonzero) digits is 62233920, while the sum is 63.

The spelling of 61627720571667 in words is "sixty-one trillion, six hundred twenty-seven billion, seven hundred twenty million, five hundred seventy-one thousand, six hundred sixty-seven".