7611497828928 has 168 divisors, whose sum is σ = 24935854461440. Its totient is φ = 2174525429760.

The previous prime is 7611497828923. The next prime is 7611497828939. The reversal of 7611497828928 is 8298287941167.

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 (72).

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

It is not an unprimeable number, because it can be changed into a prime (7611497828923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50368908 + ... + 50519796.

Almost surely, 2^{7611497828928} 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 7611497828928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12467927230720).

7611497828928 is an abundant number, since it is smaller than the sum of its proper divisors (17324356632512).

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

7611497828928 is a wasteful number, since it uses less digits than its factorization.

7611497828928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163425 (or 163412 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 72.

The spelling of 7611497828928 in words is "seven trillion, six hundred eleven billion, four hundred ninety-seven million, eight hundred twenty-eight thousand, nine hundred twenty-eight".