7661546217 has 24 divisors (see below), whose sum is σ = 12290719200. Its totient is φ = 4714794864.

The previous prime is 7661546203. The next prime is 7661546219. The reversal of 7661546217 is 7126451667.

7661546217 is a `hidden beast` number, since 7 + 6 + 6 + 15 + 4 + 621 + 7 = 666.

It is not a de Polignac number, because 7661546217 - 2⁶ = 7661546153 is a prime.

It is a super-2 number, since 2×7661546217² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7661546219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 834967 + ... + 844092.

It is an arithmetic number, because the mean of its divisors is an integer number (512113300).

Almost surely, 2^7661546217 is an apocalyptic number.

It is an amenable number.

7661546217 is a deficient number, since it is larger than the sum of its proper divisors (4629172983).

7661546217 is a wasteful number, since it uses less digits than its factorization.

7661546217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679094 (or 1679075 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 7661546217 is about 87530.2588651490. The cubic root of 7661546217 is about 1971.3881510279.

It can be divided in two parts, 7661 and 546217, that added together give a triangular number (553878 = T₁₀₅₂).

The spelling of 7661546217 in words is "seven billion, six hundred sixty-one million, five hundred forty-six thousand, two hundred seventeen".