6857703072000 has 2592 divisors, whose sum is σ = 28580213975040. Its totient is φ = 1576194048000.

The previous prime is 6857703071977. The next prime is 6857703072007. The reversal of 6857703072000 is 2703077586.

6857703072000 is a `hidden beast` number, since 6 + 8 + 577 + 0 + 3 + 0 + 72 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6857703072007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 86806367961 + ... + 86806368039.

It is an arithmetic number, because the mean of its divisors is an integer number (11026317120).

Almost surely, 2^{6857703072000} is an apocalyptic number.

6857703072000 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 6857703072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14290106987520).

6857703072000 is an abundant number, since it is smaller than the sum of its proper divisors (21722510903040).

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

6857703072000 is a wasteful number, since it uses less digits than its factorization.

6857703072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 6857703072000 in words is "six trillion, eight hundred fifty-seven billion, seven hundred three million, seventy-two thousand".