6849375978900 has 576 divisors, whose sum is σ = 25087514296320. Its totient is φ = 1403980646400.

The previous prime is 6849375978859. The next prime is 6849375978947. The reversal of 6849375978900 is 98795739486.

It is a super-3 number, since 3×6849375978900³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 726257185 + ... + 726266615.

It is an arithmetic number, because the mean of its divisors is an integer number (43554712320).

Almost surely, 2^{6849375978900} is an apocalyptic number.

6849375978900 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 6849375978900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12543757148160).

6849375978900 is an abundant number, since it is smaller than the sum of its proper divisors (18238138317420).

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

6849375978900 is a wasteful number, since it uses less digits than its factorization.

6849375978900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10224 (or 10217 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 75.

The spelling of 6849375978900 in words is "six trillion, eight hundred forty-nine billion, three hundred seventy-five million, nine hundred seventy-eight thousand, nine hundred".