5007614976 has 396 divisors, whose sum is σ = 18135183612. Its totient is φ = 1319141376.

The previous prime is 5007614971. The next prime is 5007614981. The reversal of 5007614976 is 6794167005.

It is a happy number.

5007614976 is a `hidden beast` number, since 500 + 76 + 1 + 4 + 9 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (5007614971) and next prime (5007614981).

It can be written as a sum of positive squares in 2 ways, for example, as 491774976 + 4515840000 = 22176^2 + 67200^2 .

It is not an unprimeable number, because it can be changed into a prime (5007614971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5870166 + ... + 5871018.

Almost surely, 2^5007614976 is an apocalyptic number.

5007614976 is a gapful number since it is divisible by the number (56) 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 5007614976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9067591806).

5007614976 is an abundant number, since it is smaller than the sum of its proper divisors (13127568636).

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

5007614976 is a wasteful number, since it uses less digits than its factorization.

5007614976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 5007614976 is about 70764.5036441294. The cubic root of 5007614976 is about 1710.8436014006.

The spelling of 5007614976 in words is "five billion, seven million, six hundred fourteen thousand, nine hundred seventy-six".