6805457977500 has 3240 divisors, whose sum is σ = 30086899210368. Its totient is φ = 1283143680000.

The previous prime is 6805457977481. The next prime is 6805457977573. The reversal of 6805457977500 is 57797545086.

6805457977500 is a `hidden beast` number, since 6 + 8 + 0 + 5 + 4 + 57 + 9 + 77 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1079 ways as a sum of consecutive naturals, for example, 128404867474 + ... + 128404867526.

Almost surely, 2^{6805457977500} is an apocalyptic number.

6805457977500 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 6805457977500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15043449605184).

6805457977500 is an abundant number, since it is smaller than the sum of its proper divisors (23281441232868).

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

6805457977500 is a wasteful number, since it uses less digits than its factorization.

6805457977500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 74088000, while the sum is 63.

The spelling of 6805457977500 in words is "six trillion, eight hundred five billion, four hundred fifty-seven million, nine hundred seventy-seven thousand, five hundred".