7641728000 has 176 divisors, whose sum is σ = 19221231744. Its totient is φ = 3031654400.

The previous prime is 7641727981. The next prime is 7641728011. The reversal of 7641728000 is 8271467.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29055869 + ... + 29056131.

It is an arithmetic number, because the mean of its divisors is an integer number (109211544).

Almost surely, 2^7641728000 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 7641728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9610615872).

7641728000 is an abundant number, since it is smaller than the sum of its proper divisors (11579503744).

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

7641728000 is a wasteful number, since it uses less digits than its factorization.

7641728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 7641728000 is about 87416.9777560400. The cubic root of 7641728000 is about 1969.6868785234.

Adding to 7641728000 its reverse (8271467), we get a palindrome (7649999467).

The spelling of 7641728000 in words is "seven billion, six hundred forty-one million, seven hundred twenty-eight thousand".