5076445920 has 768 divisors, whose sum is σ = 21329215488. Its totient is φ = 985374720.

The previous prime is 5076445919. The next prime is 5076445921. The reversal of 5076445920 is 295446705.

It is an interprime number because it is at equal distance from previous prime (5076445919) and next prime (5076445921).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5076445921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31143759 + ... + 31143921.

It is an arithmetic number, because the mean of its divisors is an integer number (27772416).

Almost surely, 2^5076445920 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 5076445920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10664607744).

5076445920 is an abundant number, since it is smaller than the sum of its proper divisors (16252769568).

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

5076445920 is a wasteful number, since it uses less digits than its factorization.

5076445920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 5076445920 is about 71249.1818900400. The cubic root of 5076445920 is about 1718.6466188044.

The spelling of 5076445920 in words is "five billion, seventy-six million, four hundred forty-five thousand, nine hundred twenty".