5214763008 has 288 divisors, whose sum is σ = 18542815200. Its totient is φ = 1374879744.

The previous prime is 5214762989. The next prime is 5214763013. The reversal of 5214763008 is 8003674125.

5214763008 is a `hidden beast` number, since 5 + 2 + 14 + 7 + 630 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1675758 + ... + 1678866.

It is an arithmetic number, because the mean of its divisors is an integer number (64384775).

Almost surely, 2^5214763008 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 5214763008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9271407600).

5214763008 is an abundant number, since it is smaller than the sum of its proper divisors (13328052192).

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

5214763008 is a wasteful number, since it uses less digits than its factorization.

5214763008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3157 (or 3134 counting only the distinct ones).

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

The square root of 5214763008 is about 72213.3160019674. The cubic root of 5214763008 is about 1734.1161865451.

The spelling of 5214763008 in words is "five billion, two hundred fourteen million, seven hundred sixty-three thousand, eight".