7488705000 has 320 divisors, whose sum is σ = 27130815360. Its totient is φ = 1686528000.

The previous prime is 7488704983. The next prime is 7488705001. The reversal of 7488705000 is 5078847.

It is a self number, because there is not a number n which added to its sum of digits gives 7488705000.

It is not an unprimeable number, because it can be changed into a prime (7488705001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7664512 + ... + 7665488.

It is an arithmetic number, because the mean of its divisors is an integer number (84783798).

Almost surely, 2^7488705000 is an apocalyptic number.

7488705000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7488705000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13565407680).

7488705000 is an abundant number, since it is smaller than the sum of its proper divisors (19642110360).

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

7488705000 is a wasteful number, since it uses less digits than its factorization.

7488705000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 7488705000 is about 86537.3040948238. The cubic root of 7488705000 is about 1956.4506951122.

The spelling of 7488705000 in words is "seven billion, four hundred eighty-eight million, seven hundred five thousand".