7611887616 has 104 divisors (see below), whose sum is σ = 21364749120. Its totient is φ = 2403680256.

The previous prime is 7611887573. The next prime is 7611887627. The reversal of 7611887616 is 6167881167.

It is a super-2 number, since 2×7611887616² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217171 + ... + 249773.

It is an arithmetic number, because the mean of its divisors is an integer number (205430280).

Almost surely, 2^7611887616 is an apocalyptic number.

7611887616 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 7611887616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10682374560).

7611887616 is an abundant number, since it is smaller than the sum of its proper divisors (13752861504).

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

7611887616 is a wasteful number, since it uses less digits than its factorization.

7611887616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32649 (or 32627 counting only the distinct ones).

The product of its digits is 677376, while the sum is 51.

The square root of 7611887616 is about 87246.1323841923. The cubic root of 7611887616 is about 1967.1197067698.

The spelling of 7611887616 in words is "seven billion, six hundred eleven million, eight hundred eighty-seven thousand, six hundred sixteen".