7487802000 has 960 divisors, whose sum is σ = 32445923328. Its totient is φ = 1632960000.

The previous prime is 7487801987. The next prime is 7487802061. The reversal of 7487802000 is 2087847.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 105461965 + ... + 105462035.

Almost surely, 2^7487802000 is an apocalyptic number.

7487802000 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 7487802000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16222961664).

7487802000 is an abundant number, since it is smaller than the sum of its proper divisors (24958121328).

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

7487802000 is a wasteful number, since it uses less digits than its factorization.

7487802000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 7487802000 is about 86532.0865344180. The cubic root of 7487802000 is about 1956.3720546356.

Adding to 7487802000 its reverse (2087847), we get a palindrome (7489889847).

The spelling of 7487802000 in words is "seven billion, four hundred eighty-seven million, eight hundred two thousand".