6857601004800 has 3240 divisors, whose sum is σ = 33216578752896. Its totient is φ = 1359060664320.

The previous prime is 6857601004781. The next prime is 6857601004811. The reversal of 6857601004800 is 84001067586.

It is a happy number.

6857601004800 is a `hidden beast` number, since 6 + 8 + 5 + 7 + 60 + 100 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 13633401349 + ... + 13633401851.

Almost surely, 2^{6857601004800} is an apocalyptic number.

6857601004800 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 6857601004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16608289376448).

6857601004800 is an abundant number, since it is smaller than the sum of its proper divisors (26358977748096).

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

6857601004800 is a wasteful number, since it uses less digits than its factorization.

6857601004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 6857601004800 in words is "six trillion, eight hundred fifty-seven billion, six hundred one million, four thousand, eight hundred".