6546631680 has 704 divisors, whose sum is σ = 25467955200. Its totient is φ = 1589575680.

The previous prime is 6546631673. The next prime is 6546631717. The reversal of 6546631680 is 861366456.

6546631680 is a `hidden beast` number, since 6 + 5 + 4 + 6 + 631 + 6 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92206045 + ... + 92206115.

Almost surely, 2^6546631680 is an apocalyptic number.

6546631680 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 6546631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12733977600).

6546631680 is an abundant number, since it is smaller than the sum of its proper divisors (18921323520).

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

6546631680 is a wasteful number, since it uses less digits than its factorization.

6546631680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6546631680 is about 80911.2580547355. The cubic root of 6546631680 is about 1870.7078525480.

The spelling of 6546631680 in words is "six billion, five hundred forty-six million, six hundred thirty-one thousand, six hundred eighty".