7489536000 has 480 divisors, whose sum is σ = 26498803968. Its totient is φ = 1874329600.

The previous prime is 7489535981. The next prime is 7489536011. The reversal of 7489536000 is 6359847.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141311974 + ... + 141312026.

Almost surely, 2^7489536000 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 7489536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13249401984).

7489536000 is an abundant number, since it is smaller than the sum of its proper divisors (19009267968).

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

7489536000 is an equidigital number, since it uses as much as digits as its factorization.

7489536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 7489536000 is about 86542.1053591834. The cubic root of 7489536000 is about 1956.5230596663.

The spelling of 7489536000 in words is "seven billion, four hundred eighty-nine million, five hundred thirty-six thousand".