6658001280 has 512 divisors, whose sum is σ = 28377216000. Its totient is φ = 1441234944.

The previous prime is 6658001237. The next prime is 6658001309. The reversal of 6658001280 is 821008566.

It is a happy number.

6658001280 is a `hidden beast` number, since 66 + 580 + 0 + 12 + 8 + 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 63 ways as a sum of consecutive naturals, for example, 2296792 + ... + 2299688.

It is an arithmetic number, because the mean of its divisors is an integer number (55424250).

Almost surely, 2^6658001280 is an apocalyptic number.

6658001280 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 6658001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14188608000).

6658001280 is an abundant number, since it is smaller than the sum of its proper divisors (21719214720).

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

6658001280 is a wasteful number, since it uses less digits than its factorization.

6658001280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 6658001280 is about 81596.5763987681. The cubic root of 6658001280 is about 1881.2562600940.

The spelling of 6658001280 in words is "six billion, six hundred fifty-eight million, one thousand, two hundred eighty".