6875785393920 has 432 divisors, whose sum is σ = 24840394592832. Its totient is φ = 1752653168640.

The previous prime is 6875785393913. The next prime is 6875785393931. The reversal of 6875785393920 is 293935875786.

It is a happy number.

6875785393920 is a `hidden beast` number, since 6 + 8 + 7 + 57 + 8 + 539 + 39 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439030890 + ... + 439046550.

Almost surely, 2^{6875785393920} is an apocalyptic number.

6875785393920 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 6875785393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12420197296416).

6875785393920 is an abundant number, since it is smaller than the sum of its proper divisors (17964609198912).

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

6875785393920 is a wasteful number, since it uses less digits than its factorization.

6875785393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17368 (or 17351 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 6875785393920 in words is "six trillion, eight hundred seventy-five billion, seven hundred eighty-five million, three hundred ninety-three thousand, nine hundred twenty".