6484752000 has 512 divisors, whose sum is σ = 25319174400. Its totient is φ = 1625702400.

The previous prime is 6484751993. The next prime is 6484752007. The reversal of 6484752000 is 2574846.

6484752000 is a `hidden beast` number, since 648 + 4 + 7 + 5 + 2 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6484751993) and next prime (6484752007).

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

It is not an unprimeable number, because it can be changed into a prime (6484752007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7343559 + ... + 7344441.

Almost surely, 2^6484752000 is an apocalyptic number.

6484752000 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 6484752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12659587200).

6484752000 is an abundant number, since it is smaller than the sum of its proper divisors (18834422400).

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

6484752000 is a wasteful number, since it uses less digits than its factorization.

6484752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 6484752000 is about 80527.9578779941. The cubic root of 6484752000 is about 1864.7951196518.

The spelling of 6484752000 in words is "six billion, four hundred eighty-four million, seven hundred fifty-two thousand".