7487028864 has 192 divisors, whose sum is σ = 24756526080. Its totient is φ = 2127513600.

The previous prime is 7487028859. The next prime is 7487028877. The reversal of 7487028864 is 4688207847.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 7487028864.

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 23 ways as a sum of consecutive naturals, for example, 1537794 + ... + 1542654.

It is an arithmetic number, because the mean of its divisors is an integer number (128940240).

Almost surely, 2^7487028864 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 7487028864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12378263040).

7487028864 is an abundant number, since it is smaller than the sum of its proper divisors (17269497216).

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

7487028864 is a wasteful number, since it uses less digits than its factorization.

7487028864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5079 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The square root of 7487028864 is about 86527.6190820018. The cubic root of 7487028864 is about 1956.3047187326.

The spelling of 7487028864 in words is "seven billion, four hundred eighty-seven million, twenty-eight thousand, eight hundred sixty-four".