6487157779200 has 2592 divisors, whose sum is σ = 29227329331200. Its totient is φ = 1339671674880.

The previous prime is 6487157779189. The next prime is 6487157779211. The reversal of 6487157779200 is 29777517846.

6487157779200 is a `hidden beast` number, since 6 + 487 + 15 + 77 + 79 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6487157779189) and next prime (6487157779211).

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

It is an unprimeable number.

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, 15482476591 + ... + 15482477009.

Almost surely, 2^{6487157779200} is an apocalyptic number.

6487157779200 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 6487157779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14613664665600).

6487157779200 is an abundant number, since it is smaller than the sum of its proper divisors (22740171552000).

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

6487157779200 is a wasteful number, since it uses less digits than its factorization.

6487157779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 63.

The spelling of 6487157779200 in words is "six trillion, four hundred eighty-seven billion, one hundred fifty-seven million, seven hundred seventy-nine thousand, two hundred".