6441025536 has 405 divisors, whose sum is σ = 21585228483. Its totient is φ = 1849098240.

The previous prime is 6441025531. The next prime is 6441025561. The reversal of 6441025536 is 6355201446.

The square root of 6441025536 is 80256.

It is a perfect power (a square), and thus also a powerful number.

6441025536 is a `hidden beast` number, since 64 + 41 + 0 + 2 + 553 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6441025536.

It is not an unprimeable number, because it can be changed into a prime (6441025531) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 339001335 + ... + 339001353.

Almost surely, 2^6441025536 is an apocalyptic number.

6441025536 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6441025536 is the 80256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6441025536

6441025536 is an abundant number, since it is smaller than the sum of its proper divisors (15144202947).

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

6441025536 is a wasteful number, since it uses less digits than its factorization.

6441025536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The cubic root of 6441025536 is about 1860.5942464766.

Multiplying 6441025536 by its sum of digits (36), we get a square (231876919296 = 481536²).

6441025536 divided by its sum of digits (36) gives a square (178917376 = 13376²).

The spelling of 6441025536 in words is "six billion, four hundred forty-one million, twenty-five thousand, five hundred thirty-six".