7501146480 has 160 divisors (see below), whose sum is σ = 25868731200. Its totient is φ = 1997872128.

The previous prime is 7501146473. The next prime is 7501146529. The reversal of 7501146480 is 846411057.

It is a happy number.

7501146480 is a `hidden beast` number, since 7 + 5 + 0 + 1 + 1 + 4 + 648 + 0 = 666.

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

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, 2411166 + ... + 2414274.

It is an arithmetic number, because the mean of its divisors is an integer number (161679570).

Almost surely, 2^7501146480 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 7501146480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12934365600).

7501146480 is an abundant number, since it is smaller than the sum of its proper divisors (18367584720).

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

7501146480 is a wasteful number, since it uses less digits than its factorization.

7501146480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4248 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 7501146480 is about 86609.1593308698. The cubic root of 7501146480 is about 1957.5335558905.

The spelling of 7501146480 in words is "seven billion, five hundred one million, one hundred forty-six thousand, four hundred eighty".