7672609728 has 252 divisors, whose sum is σ = 27089264592. Its totient is φ = 2063093760.

The previous prime is 7672609687. The next prime is 7672609759. The reversal of 7672609728 is 8279062767.

7672609728 is a `hidden beast` number, since 7 + 6 + 7 + 2 + 609 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 471813 + ... + 487803.

Almost surely, 2^7672609728 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 7672609728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13544632296).

7672609728 is an abundant number, since it is smaller than the sum of its proper divisors (19416654864).

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

7672609728 is a wasteful number, since it uses less digits than its factorization.

7672609728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16040 (or 16020 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 7672609728 is about 87593.4342744934. The cubic root of 7672609728 is about 1972.3366099053.

The spelling of 7672609728 in words is "seven billion, six hundred seventy-two million, six hundred nine thousand, seven hundred twenty-eight".