7661435436 has 96 divisors (see below), whose sum is σ = 20930112000. Its totient is φ = 2416889664.

The previous prime is 7661435359. The next prime is 7661435437. The reversal of 7661435436 is 6345341667.

7661435436 is a `hidden beast` number, since 7 + 6 + 61 + 43 + 543 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7661435391 and 7661435400.

It is not an unprimeable number, because it can be changed into a prime (7661435437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3669985 + ... + 3672071.

It is an arithmetic number, because the mean of its divisors is an integer number (218022000).

Almost surely, 2^7661435436 is an apocalyptic number.

7661435436 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7661435436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10465056000).

7661435436 is an abundant number, since it is smaller than the sum of its proper divisors (13268676564).

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

7661435436 is a wasteful number, since it uses less digits than its factorization.

7661435436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3908 (or 3900 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 7661435436 is about 87529.6260474132. The cubic root of 7661435436 is about 1971.3786493165.

The spelling of 7661435436 in words is "seven billion, six hundred sixty-one million, four hundred thirty-five thousand, four hundred thirty-six".