6385678460100 has 243 divisors, whose sum is σ = 20200927812429. Its totient is φ = 1687220683200.

The previous prime is 6385678459967. The next prime is 6385678460123. The reversal of 6385678460100 is 10648765836.

The square root of 6385678460100 is 2526990.

It is a perfect power (a square), and thus also a powerful number.

6385678460100 is a `hidden beast` number, since 6 + 3 + 8 + 5 + 6 + 78 + 460 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2298844245636 + 4086834214464 = 1516194^2 + 2021592^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9931070379 + ... + 9931071021.

Almost surely, 2^{6385678460100} is an apocalyptic number.

6385678460100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6385678460100 is the 2526990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6385678460100

6385678460100 is an abundant number, since it is smaller than the sum of its proper divisors (13815249352329).

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

6385678460100 is a wasteful number, since it uses less digits than its factorization.

6385678460100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 6385678460100 in words is "six trillion, three hundred eighty-five billion, six hundred seventy-eight million, four hundred sixty thousand, one hundred".