5214860640 has 288 divisors, whose sum is σ = 19485621792. Its totient is φ = 1259520000.

The previous prime is 5214860597. The next prime is 5214860657. The reversal of 5214860640 is 460684125.

5214860640 is a `hidden beast` number, since 5 + 2 + 1 + 4 + 8 + 6 + 0 + 640 = 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 junction number, because it is equal to n+sod(n) for n = 5214860595 and 5214860604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6351430 + ... + 6352250.

It is an arithmetic number, because the mean of its divisors is an integer number (67658409).

Almost surely, 2^5214860640 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 5214860640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9742810896).

5214860640 is an abundant number, since it is smaller than the sum of its proper divisors (14270761152).

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

5214860640 is a wasteful number, since it uses less digits than its factorization.

5214860640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5214860640 is about 72213.9919960114. The cubic root of 5214860640 is about 1734.1270086525.

The spelling of 5214860640 in words is "five billion, two hundred fourteen million, eight hundred sixty thousand, six hundred forty".