6257664000 has 672 divisors, whose sum is σ = 26048183616. Its totient is φ = 1415577600.

The previous prime is 6257663953. The next prime is 6257664001. The reversal of 6257664000 is 4667526.

6257664000 is a `hidden beast` number, since 6 + 2 + 5 + 7 + 6 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6257664001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64511952 + ... + 64512048.

It is an arithmetic number, because the mean of its divisors is an integer number (38762178).

Almost surely, 2^6257664000 is an apocalyptic number.

6257664000 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 6257664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13024091808).

6257664000 is an abundant number, since it is smaller than the sum of its proper divisors (19790519616).

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

6257664000 is an equidigital number, since it uses as much as digits as its factorization.

6257664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 6257664000 is about 79105.3980458982. The cubic root of 6257664000 is about 1842.7683595745.

The spelling of 6257664000 in words is "six billion, two hundred fifty-seven million, six hundred sixty-four thousand".