7428672000 has 400 divisors, whose sum is σ = 27690752232. Its totient is φ = 1979596800.

The previous prime is 7428671941. The next prime is 7428672007. The reversal of 7428672000 is 2768247.

It can be written as a sum of positive squares in 4 ways, for example, as 3468738816 + 3959933184 = 58896^2 + 62928^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7428672007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5183284 + ... + 5184716.

Almost surely, 2^7428672000 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 7428672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13845376116).

7428672000 is an abundant number, since it is smaller than the sum of its proper divisors (20262080232).

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

7428672000 is an equidigital number, since it uses as much as digits as its factorization.

7428672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 7428672000 is about 86189.7441694776. The cubic root of 7428672000 is about 1951.2087180704.

The spelling of 7428672000 in words is "seven billion, four hundred twenty-eight million, six hundred seventy-two thousand".