6502083840 has 1080 divisors, whose sum is σ = 29156531712. Its totient is φ = 1353646080.

The previous prime is 6502083827. The next prime is 6502083893. The reversal of 6502083840 is 483802056.

It is a tau number, because it is divible by the number of its divisors (1080).

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 = 6502083795 and 6502083804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 209744625 + ... + 209744655.

Almost surely, 2^6502083840 is an apocalyptic number.

6502083840 is a gapful number since it is divisible by the number (60) 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 6502083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14578265856).

6502083840 is an abundant number, since it is smaller than the sum of its proper divisors (22654447872).

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

6502083840 is a wasteful number, since it uses less digits than its factorization.

6502083840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 65 counting only the distinct ones).

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

The square root of 6502083840 is about 80635.4998744350. The cubic root of 6502083840 is about 1866.4549918706.

Adding to 6502083840 its reverse (483802056), we get a palindrome (6985885896).

The spelling of 6502083840 in words is "six billion, five hundred two million, eighty-three thousand, eight hundred forty".