6267720064 has 64 divisors (see below), whose sum is σ = 13089162240. Its totient is φ = 2983850496.

The previous prime is 6267720013. The next prime is 6267720083. The reversal of 6267720064 is 4600277626.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 6267719999 and 6267720026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 651739 + ... + 661285.

It is an arithmetic number, because the mean of its divisors is an integer number (204518160).

Almost surely, 2^6267720064 is an apocalyptic number.

6267720064 is a gapful number since it is divisible by the number (64) 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 6267720064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6544581120).

6267720064 is an abundant number, since it is smaller than the sum of its proper divisors (6821442176).

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

6267720064 is a wasteful number, since it uses less digits than its factorization.

6267720064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9807 (or 9795 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The square root of 6267720064 is about 79168.9337050841. The cubic root of 6267720064 is about 1843.7549406682.

The spelling of 6267720064 in words is "six billion, two hundred sixty-seven million, seven hundred twenty thousand, sixty-four".