6502722768 has 240 divisors, whose sum is σ = 20530560960. Its totient is φ = 1984186368.

The previous prime is 6502722767. The next prime is 6502722769. The reversal of 6502722768 is 8672272056.

6502722768 is a `hidden beast` number, since 6 + 502 + 72 + 2 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (6502722767) and next prime (6502722769).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6502722767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2444223 + ... + 2446881.

It is an arithmetic number, because the mean of its divisors is an integer number (85544004).

Almost surely, 2^6502722768 is an apocalyptic number.

6502722768 is a gapful number since it is divisible by the number (68) 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 6502722768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10265280480).

6502722768 is an abundant number, since it is smaller than the sum of its proper divisors (14027838192).

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

6502722768 is a wasteful number, since it uses less digits than its factorization.

6502722768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 6502722768 is about 80639.4616053456. The cubic root of 6502722768 is about 1866.5161256714.

The spelling of 6502722768 in words is "six billion, five hundred two million, seven hundred twenty-two thousand, seven hundred sixty-eight".