7641928800 has 720 divisors, whose sum is σ = 31034513664. Its totient is φ = 1814400000.

The previous prime is 7641928783. The next prime is 7641928807. The reversal of 7641928800 is 88291467.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7641928807) 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 119 ways as a sum of consecutive naturals, for example, 50608725 + ... + 50608875.

Almost surely, 2^7641928800 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 7641928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15517256832).

7641928800 is an abundant number, since it is smaller than the sum of its proper divisors (23392584864).

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

7641928800 is a wasteful number, since it uses less digits than its factorization.

7641928800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 7641928800 is about 87418.1262668104. The cubic root of 7641928800 is about 1969.7041307147.

The spelling of 7641928800 in words is "seven billion, six hundred forty-one million, nine hundred twenty-eight thousand, eight hundred".