6488429875200 has 4992 divisors, whose sum is σ = 32679998346240. Its totient is φ = 1223059046400.

The previous prime is 6488429875171. The next prime is 6488429875243. The reversal of 6488429875200 is 25789248846.

6488429875200 is a `hidden beast` number, since 6 + 4 + 8 + 8 + 4 + 29 + 87 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 158254387180 + ... + 158254387220.

Almost surely, 2^{6488429875200} is an apocalyptic number.

6488429875200 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 6488429875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16339999173120).

6488429875200 is an abundant number, since it is smaller than the sum of its proper divisors (26191568471040).

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

6488429875200 is a wasteful number, since it uses less digits than its factorization.

6488429875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 6488429875200 in words is "six trillion, four hundred eighty-eight billion, four hundred twenty-nine million, eight hundred seventy-five thousand, two hundred".