6451488000 has 720 divisors, whose sum is σ = 25464479040. Its totient is φ = 1617408000.

The previous prime is 6451487963. The next prime is 6451488023. The reversal of 6451488000 is 8841546.

6451488000 is a `hidden beast` number, since 64 + 514 + 8 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 49247935 + ... + 49248065.

It is an arithmetic number, because the mean of its divisors is an integer number (35367332).

Almost surely, 2^6451488000 is an apocalyptic number.

6451488000 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 6451488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12732239520).

6451488000 is an abundant number, since it is smaller than the sum of its proper divisors (19012991040).

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

6451488000 is a wasteful number, since it uses less digits than its factorization.

6451488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 6451488000 is about 80321.1553701763. The cubic root of 6451488000 is about 1861.6011187336.

The spelling of 6451488000 in words is "six billion, four hundred fifty-one million, four hundred eighty-eight thousand".