6532671600 has 1440 divisors, whose sum is σ = 31721303040. Its totient is φ = 1240842240.

The previous prime is 6532671581. The next prime is 6532671653. The reversal of 6532671600 is 61762356.

6532671600 is a `hidden beast` number, since 6 + 532 + 67 + 1 + 60 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 284029189 + ... + 284029211.

Almost surely, 2^6532671600 is an apocalyptic number.

6532671600 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 6532671600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15860651520).

6532671600 is an abundant number, since it is smaller than the sum of its proper divisors (25188631440).

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

6532671600 is a wasteful number, since it uses less digits than its factorization.

6532671600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 6532671600 is about 80824.9441694827. The cubic root of 6532671600 is about 1869.3772030710.

The spelling of 6532671600 in words is "six billion, five hundred thirty-two million, six hundred seventy-one thousand, six hundred".