67564124761 has 27 divisors (see below), whose sum is σ = 79870280373. Its totient is φ = 56987272440.

The previous prime is 67564124753. The next prime is 67564124767. The reversal of 67564124761 is 16742146576.

The square root of 67564124761 is 259931.

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

It is not a de Polignac number, because 67564124761 - 2³ = 67564124753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67564124767) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 129185446 + ... + 129185968.

Almost surely, 2^67564124761 is an apocalyptic number.

67564124761 is the 259931-st square number.

67564124761 is the 129966-th centered octagonal number.

It is an amenable number.

67564124761 is a deficient number, since it is larger than the sum of its proper divisors (12306155612).

67564124761 is an frugal number, since it uses more digits than its factorization.

67564124761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 601 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 49.

Multiplying 67564124761 by its sum of digits (49), we get a square (3310642113289 = 1819517²).

67564124761 divided by its sum of digits (49) gives a square (1378859689 = 37133²).

The spelling of 67564124761 in words is "sixty-seven billion, five hundred sixty-four million, one hundred twenty-four thousand, seven hundred sixty-one".