6458680800 has 1440 divisors, whose sum is σ = 30013641504. Its totient is φ = 1327104000.

The previous prime is 6458680777. The next prime is 6458680831. The reversal of 6458680800 is 80868546.

6458680800 is a `hidden beast` number, since 64 + 586 + 8 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 157528780 + ... + 157528820.

Almost surely, 2^6458680800 is an apocalyptic number.

6458680800 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 6458680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15006820752).

6458680800 is an abundant number, since it is smaller than the sum of its proper divisors (23554960704).

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

6458680800 is a wasteful number, since it uses less digits than its factorization.

6458680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 6458680800 is about 80365.9181494245. The cubic root of 6458680800 is about 1862.2926982765.

The spelling of 6458680800 in words is "six billion, four hundred fifty-eight million, six hundred eighty thousand, eight hundred".