6425527680 has 768 divisors, whose sum is σ = 27066312000. Its totient is φ = 1383137280.

The previous prime is 6425527649. The next prime is 6425527681. The reversal of 6425527680 is 867255246.

6425527680 is a `hidden beast` number, since 6 + 42 + 5 + 527 + 6 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6425527681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23886586 + ... + 23886854.

Almost surely, 2^6425527680 is an apocalyptic number.

6425527680 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 6425527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13533156000).

6425527680 is an abundant number, since it is smaller than the sum of its proper divisors (20640784320).

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

6425527680 is a wasteful number, since it uses less digits than its factorization.

6425527680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 332 counting only the distinct ones).

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

The square root of 6425527680 is about 80159.3892192300. The cubic root of 6425527680 is about 1859.1007793533.

The spelling of 6425527680 in words is "six billion, four hundred twenty-five million, five hundred twenty-seven thousand, six hundred eighty".