6502842720 has 1152 divisors, whose sum is σ = 28531077120. Its totient is φ = 1327104000.

The previous prime is 6502842691. The next prime is 6502842757. The reversal of 6502842720 is 272482056.

6502842720 is a `hidden beast` number, since 6 + 502 + 84 + 2 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 158605900 + ... + 158605940.

It is an arithmetic number, because the mean of its divisors is an integer number (24766560).

Almost surely, 2^6502842720 is an apocalyptic number.

6502842720 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 6502842720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14265538560).

6502842720 is an abundant number, since it is smaller than the sum of its proper divisors (22028234400).

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

6502842720 is a wasteful number, since it uses less digits than its factorization.

6502842720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 6502842720 is about 80640.2053568814. The cubic root of 6502842720 is about 1866.5276024519.

The spelling of 6502842720 in words is "six billion, five hundred two million, eight hundred forty-two thousand, seven hundred twenty".