5476060800 has 576 divisors, whose sum is σ = 23321900160. Its totient is φ = 1196236800.

The previous prime is 5476060789. The next prime is 5476060801. The reversal of 5476060800 is 80606745.

It is a happy number.

5476060800 is a `hidden beast` number, since 5 + 47 + 6 + 0 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (5476060801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4636210 + ... + 4637390.

It is an arithmetic number, because the mean of its divisors is an integer number (40489410).

Almost surely, 2^5476060800 is an apocalyptic number.

5476060800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5476060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11660950080).

5476060800 is an abundant number, since it is smaller than the sum of its proper divisors (17845839360).

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

5476060800 is a wasteful number, since it uses less digits than its factorization.

5476060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5476060800 is about 74000.4108096705. The cubic root of 5476060800 is about 1762.6094213038.

The spelling of 5476060800 in words is "five billion, four hundred seventy-six million, sixty thousand, eight hundred".