7564268061 has 24 divisors (see below), whose sum is σ = 12498542784. Its totient is φ = 4318459200.

The previous prime is 7564268051. The next prime is 7564268069. The reversal of 7564268061 is 1608624657.

7564268061 is a `hidden beast` number, since 7 + 564 + 2 + 6 + 80 + 6 + 1 = 666.

It is not a de Polignac number, because 7564268061 - 2¹⁰ = 7564267037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7564267998 and 7564268016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7564268069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14386 + ... + 123836.

It is an arithmetic number, because the mean of its divisors is an integer number (520772616).

Almost surely, 2^7564268061 is an apocalyptic number.

It is an amenable number.

7564268061 is a deficient number, since it is larger than the sum of its proper divisors (4934274723).

7564268061 is a wasteful number, since it uses less digits than its factorization.

7564268061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110561 (or 110558 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 7564268061 is about 86972.8006965396. The cubic root of 7564268061 is about 1963.0090581789.

It can be divided in two parts, 7564 and 268061, that added together give a square (275625 = 525²).

The spelling of 7564268061 in words is "seven billion, five hundred sixty-four million, two hundred sixty-eight thousand, sixty-one".