7611416520 has 256 divisors, whose sum is σ = 24121670400. Its totient is φ = 1919324160.

The previous prime is 7611416507. The next prime is 7611416563. The reversal of 7611416520 is 256141167.

It is a super-2 number, since 2×7611416520² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42521791 + ... + 42521969.

It is an arithmetic number, because the mean of its divisors is an integer number (94225275).

Almost surely, 2^7611416520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7611416520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12060835200).

7611416520 is an abundant number, since it is smaller than the sum of its proper divisors (16510253880).

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

7611416520 is a wasteful number, since it uses less digits than its factorization.

7611416520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 7611416520 is about 87243.4325321969. The cubic root of 7611416520 is about 1967.0791245739.

Adding to 7611416520 its reverse (256141167), we get a palindrome (7867557687).

The spelling of 7611416520 in words is "seven billion, six hundred eleven million, four hundred sixteen thousand, five hundred twenty".