61726037854464 has 81 divisors (see below), whose sum is σ = 177972471643603. Its totient is φ = 20575220246016.

The previous prime is 61726037854391. The next prime is 61726037854511. The reversal of 61726037854464 is 46445873062716.

The square root of 61726037854464 is 7856592.

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

61726037854464 is a `hidden beast` number, since 6 + 1 + 7 + 2 + 60 + 37 + 85 + 4 + 464 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 377034577 + ... + 377198255.

Almost surely, 2^{61726037854464} is an apocalyptic number.

61726037854464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

61726037854464 is the 7856592-nd square number.

It is an amenable number.

61726037854464 is an abundant number, since it is smaller than the sum of its proper divisors (116246433789139).

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

61726037854464 is an frugal number, since it uses more digits than its factorization.

61726037854464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327380 (or 163684 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 61726037854464 in words is "sixty-one trillion, seven hundred twenty-six billion, thirty-seven million, eight hundred fifty-four thousand, four hundred sixty-four".