261767303424 has 1215 divisors, whose sum is σ = 961880814741. Its totient is φ = 70728007680.

The previous prime is 261767303419. The next prime is 261767303471. The reversal of 261767303424 is 424303767162.

The square root of 261767303424 is 511632.

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

261767303424 is a `hidden beast` number, since 2 + 617 + 6 + 7 + 3 + 0 + 3 + 4 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 203798073600 + 57969229824 = 451440^2 + 240768^2 .

It is a super-2 number, since 2×261767303424² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 261767303424.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 13777226487 + ... + 13777226505.

Almost surely, 2^261767303424 is an apocalyptic number.

261767303424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

261767303424 is the 511632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261767303424

261767303424 is an abundant number, since it is smaller than the sum of its proper divisors (700113511317).

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

261767303424 is a wasteful number, since it uses less digits than its factorization.

261767303424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 261767303424 in words is "two hundred sixty-one billion, seven hundred sixty-seven million, three hundred three thousand, four hundred twenty-four".