61966935560464 has 45 divisors (see below), whose sum is σ = 131968545135511. Its totient is φ = 28166631452960.

The previous prime is 61966935560447. The next prime is 61966935560527. The reversal of 61966935560464 is 46406553966916.

The square root of 61966935560464 is 7871908.

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

It is a super-2 number, since 2×61966935560464² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 61966935560393 and 61966935560402.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 346274499 + ... + 346453405.

Almost surely, 2^{61966935560464} is an apocalyptic number.

61966935560464 is the 7871908-th square number.

It is an amenable number.

61966935560464 is an abundant number, since it is smaller than the sum of its proper divisors (70001609575047).

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

61966935560464 is an frugal number, since it uses more digits than its factorization.

61966935560464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357844 (or 178920 counting only the distinct ones).

The product of its (nonzero) digits is 755827200, while the sum is 70.

The spelling of 61966935560464 in words is "sixty-one trillion, nine hundred sixty-six billion, nine hundred thirty-five million, five hundred sixty thousand, four hundred sixty-four".