6477658387200 has 6048 divisors, whose sum is σ = 34440047362560. Its totient is φ = 1160950579200.

The previous prime is 6477658387171. The next prime is 6477658387223. The reversal of 6477658387200 is 27838567746.

6477658387200 is a `hidden beast` number, since 6 + 47 + 7 + 6 + 5 + 8 + 387 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

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 671 ways as a sum of consecutive naturals, for example, 88735046364 + ... + 88735046436.

Almost surely, 2^{6477658387200} is an apocalyptic number.

6477658387200 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 6477658387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17220023681280).

6477658387200 is an abundant number, since it is smaller than the sum of its proper divisors (27962388975360).

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

6477658387200 is a wasteful number, since it uses less digits than its factorization.

6477658387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 6477658387200 in words is "six trillion, four hundred seventy-seven billion, six hundred fifty-eight million, three hundred eighty-seven thousand, two hundred".