7611625728 has 360 divisors, whose sum is σ = 26592276480. Its totient is φ = 2120048640.

The previous prime is 7611625657. The next prime is 7611625759. The reversal of 7611625728 is 8275261167.

7611625728 is a `hidden beast` number, since 7 + 6 + 11 + 62 + 572 + 8 = 666.

It is a super-3 number, since 3×7611625728³ (a number of 31 digits) contains 333 as substring.

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 39 ways as a sum of consecutive naturals, for example, 5950593 + ... + 5951871.

Almost surely, 2^7611625728 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 7611625728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13296138240).

7611625728 is an abundant number, since it is smaller than the sum of its proper divisors (18980650752).

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

7611625728 is a wasteful number, since it uses less digits than its factorization.

7611625728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1332 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 7611625728 is about 87244.6315139218. The cubic root of 7611625728 is about 1967.0971468399.

The spelling of 7611625728 in words is "seven billion, six hundred eleven million, six hundred twenty-five thousand, seven hundred twenty-eight".