7611648128 has 64 divisors (see below), whose sum is σ = 17354198400. Its totient is φ = 3257597952.

The previous prime is 7611648113. The next prime is 7611648131. The reversal of 7611648128 is 8218461167.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct 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, 683501 + ... + 694547.

It is an arithmetic number, because the mean of its divisors is an integer number (271159350).

Almost surely, 2^7611648128 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 7611648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8677099200).

7611648128 is an abundant number, since it is smaller than the sum of its proper divisors (9742550272).

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

7611648128 is a wasteful number, since it uses less digits than its factorization.

7611648128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11837 (or 11825 counting only the distinct ones).

The product of its digits is 129024, while the sum is 44.

The square root of 7611648128 is about 87244.7598884884. The cubic root of 7611648128 is about 1967.0990764729.

The spelling of 7611648128 in words is "seven billion, six hundred eleven million, six hundred forty-eight thousand, one hundred twenty-eight".