6257528640 has 560 divisors, whose sum is σ = 25730996544. Its totient is φ = 1426636800.

The previous prime is 6257528593. The next prime is 6257528677. The reversal of 6257528640 is 468257526.

6257528640 is a `hidden beast` number, since 62 + 5 + 7 + 528 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4846395 + ... + 4847685.

Almost surely, 2^6257528640 is an apocalyptic number.

6257528640 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 6257528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12865498272).

6257528640 is an abundant number, since it is smaller than the sum of its proper divisors (19473467904).

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

6257528640 is a wasteful number, since it uses less digits than its factorization.

6257528640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 6257528640 is about 79104.5424738681. The cubic root of 6257528640 is about 1842.7550724584.

The spelling of 6257528640 in words is "six billion, two hundred fifty-seven million, five hundred twenty-eight thousand, six hundred forty".