7487580672 has 360 divisors, whose sum is σ = 25604671092. Its totient is φ = 2092400640.

The previous prime is 7487580647. The next prime is 7487580689. The reversal of 7487580672 is 2760857847.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7407012096 + 80568576 = 86064^2 + 8976^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7247868 + ... + 7248900.

Almost surely, 2^7487580672 is an apocalyptic number.

7487580672 is a gapful number since it is divisible by the number (72) 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 7487580672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12802335546).

7487580672 is an abundant number, since it is smaller than the sum of its proper divisors (18117090420).

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

7487580672 is a wasteful number, since it uses less digits than its factorization.

7487580672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The square root of 7487580672 is about 86530.8076467567. The cubic root of 7487580672 is about 1956.3527786549.

The spelling of 7487580672 in words is "seven billion, four hundred eighty-seven million, five hundred eighty thousand, six hundred seventy-two".