7482461000 has 128 divisors (see below), whose sum is σ = 20062598400. Its totient is φ = 2558707200.

The previous prime is 7482460987. The next prime is 7482461011. The reversal of 7482461000 is 1642847.

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, 3197831 + ... + 3200169.

It is an arithmetic number, because the mean of its divisors is an integer number (156739050).

Almost surely, 2^7482461000 is an apocalyptic number.

7482461000 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 7482461000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10031299200).

7482461000 is an abundant number, since it is smaller than the sum of its proper divisors (12580137400).

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

7482461000 is a wasteful number, since it uses less digits than its factorization.

7482461000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 7482461000 is about 86501.2196445807. The cubic root of 7482461000 is about 1955.9067882140.

The spelling of 7482461000 in words is "seven billion, four hundred eighty-two million, four hundred sixty-one thousand".