6678597100032 has 960 divisors, whose sum is σ = 24072509260800. Its totient is φ = 1752294850560.

The previous prime is 6678597100027. The next prime is 6678597100079. The reversal of 6678597100032 is 2300017958766.

6678597100032 is a `hidden beast` number, since 6 + 6 + 7 + 8 + 597 + 10 + 0 + 0 + 32 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1289550819 + ... + 1289555997.

It is an arithmetic number, because the mean of its divisors is an integer number (25075530480).

Almost surely, 2^{6678597100032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6678597100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12036254630400).

6678597100032 is an abundant number, since it is smaller than the sum of its proper divisors (17393912160768).

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

6678597100032 is a wasteful number, since it uses less digits than its factorization.

6678597100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5349 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 6678597100032 in words is "six trillion, six hundred seventy-eight billion, five hundred ninety-seven million, one hundred thousand, thirty-two".