7612116288 has 168 divisors, whose sum is σ = 23663538144. Its totient is φ = 2153088000.

The previous prime is 7612116283. The next prime is 7612116311. The reversal of 7612116288 is 8826112167.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7612116283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 946203 + ... + 954213.

Almost surely, 2^7612116288 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 7612116288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11831769072).

7612116288 is an abundant number, since it is smaller than the sum of its proper divisors (16051421856).

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

7612116288 is a wasteful number, since it uses less digits than its factorization.

7612116288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8141 (or 8124 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 7612116288 is about 87247.4428737026. The cubic root of 7612116288 is about 1967.1394049365.

The spelling of 7612116288 in words is "seven billion, six hundred twelve million, one hundred sixteen thousand, two hundred eighty-eight".