6642875519280 has 2400 divisors, whose sum is σ = 31463824436352. Its totient is φ = 1263907307520.

The previous prime is 6642875519209. The next prime is 6642875519311. The reversal of 6642875519280 is 829155782466.

6642875519280 is a `hidden beast` number, since 6 + 6 + 4 + 28 + 75 + 519 + 28 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 11202150664 + ... + 11202151256.

Almost surely, 2^{6642875519280} is an apocalyptic number.

6642875519280 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 6642875519280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15731912218176).

6642875519280 is an abundant number, since it is smaller than the sum of its proper divisors (24820948917072).

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

6642875519280 is a wasteful number, since it uses less digits than its factorization.

6642875519280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 6642875519280 in words is "six trillion, six hundred forty-two billion, eight hundred seventy-five million, five hundred nineteen thousand, two hundred eighty".