61766166784 has 135 divisors (see below), whose sum is σ = 144286167977. Its totient is φ = 26387708928.

The previous prime is 61766166757. The next prime is 61766166811. The reversal of 61766166784 is 48766166716.

The square root of 61766166784 is 248528.

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

It is an interprime number because it is at equal distance from previous prime (61766166757) and next prime (61766166811).

It can be written as a sum of positive squares in only one way, i.e., 3457440000 + 58308726784 = 58800^2 + 241472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 194845794 + ... + 194846110.

Almost surely, 2^61766166784 is an apocalyptic number.

61766166784 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

61766166784 is the 248528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61766166784

61766166784 is an abundant number, since it is smaller than the sum of its proper divisors (82520001193).

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

61766166784 is an frugal number, since it uses more digits than its factorization.

61766166784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 326 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 58.

The spelling of 61766166784 in words is "sixty-one billion, seven hundred sixty-six million, one hundred sixty-six thousand, seven hundred eighty-four".