5077420920 has 768 divisors, whose sum is σ = 21228480000. Its totient is φ = 1033482240.

The previous prime is 5077420883. The next prime is 5077420927. The reversal of 5077420920 is 290247705.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5077420927) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 28365391 + ... + 28365569.

It is an arithmetic number, because the mean of its divisors is an integer number (27641250).

Almost surely, 2^5077420920 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 5077420920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614240000).

5077420920 is an abundant number, since it is smaller than the sum of its proper divisors (16151059080).

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

5077420920 is a wasteful number, since it uses less digits than its factorization.

5077420920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 5077420920 is about 71256.0237453649. The cubic root of 5077420920 is about 1718.7566415259.

The spelling of 5077420920 in words is "five billion, seventy-seven million, four hundred twenty thousand, nine hundred twenty".