5011476480 has 624 divisors, whose sum is σ = 19320275520. Its totient is φ = 1242169344.

The previous prime is 5011476467. The next prime is 5011476487. The reversal of 5011476480 is 846741105.

It is a happy number.

5011476480 is a `hidden beast` number, since 5 + 0 + 1 + 1 + 4 + 7 + 648 + 0 = 666.

It is a super-2 number, since 2×5011476480² = 50229793019186380800, which contains 22 as substring.

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 (5011476487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94556134 + ... + 94556186.

It is an arithmetic number, because the mean of its divisors is an integer number (30961980).

Almost surely, 2^5011476480 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 5011476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9660137760).

5011476480 is an abundant number, since it is smaller than the sum of its proper divisors (14308799040).

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

5011476480 is an equidigital number, since it uses as much as digits as its factorization.

5011476480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5011476480 is about 70791.7825739683. The cubic root of 5011476480 is about 1711.2832472892.

The spelling of 5011476480 in words is "five billion, eleven million, four hundred seventy-six thousand, four hundred eighty".