80724742641 has 63 divisors (see below), whose sum is σ = 128778098331. Its totient is φ = 50568992064.

The previous prime is 80724742639. The next prime is 80724742687. The reversal of 80724742641 is 14624742708.

The square root of 80724742641 is 284121.

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

80724742641 is a `hidden beast` number, since 80 + 72 + 47 + 426 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62847983025 + 17876759616 = 250695^2 + 133704^2 .

It is not a de Polignac number, because 80724742641 - 2¹ = 80724742639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (80724740641) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 130411230 + ... + 130411848.

Almost surely, 2^80724742641 is an apocalyptic number.

80724742641 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

80724742641 is the 284121-st square number.

80724742641 is the 142061-st centered octagonal number.

It is an amenable number.

80724742641 is a deficient number, since it is larger than the sum of its proper divisors (48053355690).

80724742641 is an frugal number, since it uses more digits than its factorization.

80724742641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 80724742641 in words is "eighty billion, seven hundred twenty-four million, seven hundred forty-two thousand, six hundred forty-one".