7487408160 has 72 divisors (see below), whose sum is σ = 25550785260. Its totient is φ = 1996641792.

The previous prime is 7487408129. The next prime is 7487408177. The reversal of 7487408160 is 618047847.

7487408160 is a `hidden beast` number, since 7 + 4 + 87 + 408 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6183620496 + 1303787664 = 78636^2 + 36108^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×7487408160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2598355 + ... + 2601234.

Almost surely, 2^7487408160 is an apocalyptic number.

It is an amenable number.

7487408160 is an abundant number, since it is smaller than the sum of its proper divisors (18063377100).

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

7487408160 is a wasteful number, since it uses less digits than its factorization.

7487408160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5199610 (or 5199599 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 7487408160 is about 86529.8108168509. The cubic root of 7487408160 is about 1956.3377539120.

It can be divided in two parts, 748740 and 8160, that added together give a square (756900 = 870²).

The spelling of 7487408160 in words is "seven billion, four hundred eighty-seven million, four hundred eight thousand, one hundred sixty".