5362640640 has 504 divisors, whose sum is σ = 22037083488. Its totient is φ = 1224253440.

The previous prime is 5362640627. The next prime is 5362640651. The reversal of 5362640640 is 460462635.

5362640640 is a `hidden beast` number, since 5 + 3 + 6 + 2 + 6 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 = 5362640595 and 5362640604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6531430 + ... + 6532250.

It is an arithmetic number, because the mean of its divisors is an integer number (43724372).

Almost surely, 2^5362640640 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 5362640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11018541744).

5362640640 is an abundant number, since it is smaller than the sum of its proper divisors (16674442848).

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

5362640640 is an frugal number, since it uses more digits than its factorization.

5362640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 5362640640 is about 73230.0528471747. The cubic root of 5362640640 is about 1750.3553716395.

The spelling of 5362640640 in words is "five billion, three hundred sixty-two million, six hundred forty thousand, six hundred forty".