5006977600 has 189 divisors, whose sum is σ = 12972387441. Its totient is φ = 1902028800.

The previous prime is 5006977597. The next prime is 5006977607. The reversal of 5006977600 is 67796005.

The square root of 5006977600 is 70760.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 4986619456 + 20358144 = 70616^2 + 4512^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5006977607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 82081570 + ... + 82081630.

Almost surely, 2^5006977600 is an apocalyptic number.

5006977600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5006977600 is the 70760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5006977600

5006977600 is an abundant number, since it is smaller than the sum of its proper divisors (7965409841).

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

5006977600 is an equidigital number, since it uses as much as digits as its factorization.

5006977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 40.

The cubic root of 5006977600 is about 1710.7710121591.

The spelling of 5006977600 in words is "five billion, six million, nine hundred seventy-seven thousand, six hundred".