6502856048640 has 1440 divisors, whose sum is σ = 27892444769280. Its totient is φ = 1421041729536.

The previous prime is 6502856048627. The next prime is 6502856048669. The reversal of 6502856048640 is 468406582056.

6502856048640 is a `hidden beast` number, since 6 + 5 + 0 + 28 + 5 + 604 + 8 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-4 number, since 4×6502856048640⁴ (a number of 52 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3204955146 + ... + 3204957174.

It is an arithmetic number, because the mean of its divisors is an integer number (19369753312).

Almost surely, 2^{6502856048640} is an apocalyptic number.

6502856048640 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 6502856048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13946222384640).

6502856048640 is an abundant number, since it is smaller than the sum of its proper divisors (21389588720640).

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

6502856048640 is an equidigital number, since it uses as much as digits as its factorization.

6502856048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 6502856048640 in words is "six trillion, five hundred two billion, eight hundred fifty-six million, forty-eight thousand, six hundred forty".