5120396640 has 192 divisors, whose sum is σ = 18864921600. Its totient is φ = 1293553152.

The previous prime is 5120396639. The next prime is 5120396657. The reversal of 5120396640 is 466930215.

It is a happy number.

5120396640 is a `hidden beast` number, since 5 + 1 + 2 + 0 + 3 + 9 + 6 + 640 = 666.

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 5120396595 and 5120396604.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 50889 + ... + 113271.

It is an arithmetic number, because the mean of its divisors is an integer number (98254800).

Almost surely, 2^5120396640 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 5120396640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9432460800).

5120396640 is an abundant number, since it is smaller than the sum of its proper divisors (13744524960).

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

5120396640 is a wasteful number, since it uses less digits than its factorization.

5120396640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62426 (or 62412 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5120396640 is about 71556.9468325752. The cubic root of 5120396640 is about 1723.5922579062.

The spelling of 5120396640 in words is "five billion, one hundred twenty million, three hundred ninety-six thousand, six hundred forty".