6634540080 has 480 divisors, whose sum is σ = 27174451200. Its totient is φ = 1416849408.

The previous prime is 6634540079. The next prime is 6634540127. The reversal of 6634540080 is 800454366.

6634540080 is a `hidden beast` number, since 6 + 6 + 34 + 540 + 0 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7564602 + ... + 7565478.

It is an arithmetic number, because the mean of its divisors is an integer number (56613440).

Almost surely, 2^6634540080 is an apocalyptic number.

6634540080 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 6634540080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13587225600).

6634540080 is an abundant number, since it is smaller than the sum of its proper divisors (20539911120).

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

6634540080 is a wasteful number, since it uses less digits than its factorization.

6634540080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6634540080 is about 81452.6861435521. The cubic root of 6634540080 is about 1879.0439608658.

The spelling of 6634540080 in words is "six billion, six hundred thirty-four million, five hundred forty thousand, eighty".