5029712064 has 448 divisors, whose sum is σ = 16823009280. Its totient is φ = 1463132160.

The previous prime is 5029712041. The next prime is 5029712071. The reversal of 5029712064 is 4602179205.

5029712064 is a `hidden beast` number, since 502 + 9 + 71 + 20 + 64 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39603969 + ... + 39604095.

It is an arithmetic number, because the mean of its divisors is an integer number (37551360).

Almost surely, 2^5029712064 is an apocalyptic number.

5029712064 is a gapful number since it is divisible by the number (54) 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 5029712064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8411504640).

5029712064 is an abundant number, since it is smaller than the sum of its proper divisors (11793297216).

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

5029712064 is a wasteful number, since it uses less digits than its factorization.

5029712064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5029712064 is about 70920.4629426515. The cubic root of 5029712064 is about 1713.3563871530.

The spelling of 5029712064 in words is "five billion, twenty-nine million, seven hundred twelve thousand, sixty-four".