5082920640 has 448 divisors, whose sum is σ = 20638617600. Its totient is φ = 1153585152.

The previous prime is 5082920599. The next prime is 5082920659. The reversal of 5082920640 is 460292805.

It is a happy number.

5082920640 is a `hidden beast` number, since 5 + 0 + 8 + 2 + 9 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 5082920595 and 5082920604.

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, 13849737 + ... + 13850103.

Almost surely, 2^5082920640 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 5082920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10319308800).

5082920640 is an abundant number, since it is smaller than the sum of its proper divisors (15555696960).

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

5082920640 is a wasteful number, since it uses less digits than its factorization.

5082920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5082920640 is about 71294.6045644409. The cubic root of 5082920640 is about 1719.3769872695.

The spelling of 5082920640 in words is "five billion, eighty-two million, nine hundred twenty thousand, six hundred forty".