6387456960 has 224 divisors, whose sum is σ = 23513978880. Its totient is φ = 1629213696.

The previous prime is 6387456899. The next prime is 6387456961. The reversal of 6387456960 is 696547836.

6387456960 is a `hidden beast` number, since 6 + 3 + 8 + 74 + 569 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6387456897 and 6387456906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6387456961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182649 + ... + 214791.

It is an arithmetic number, because the mean of its divisors is an integer number (104973120).

Almost surely, 2^6387456960 is an apocalyptic number.

6387456960 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 6387456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11756989440).

6387456960 is an abundant number, since it is smaller than the sum of its proper divisors (17126521920).

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

6387456960 is a wasteful number, since it uses less digits than its factorization.

6387456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32192 (or 32176 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 6387456960 is about 79921.5675521946. The cubic root of 6387456960 is about 1855.4218311579.

The spelling of 6387456960 in words is "six billion, three hundred eighty-seven million, four hundred fifty-six thousand, nine hundred sixty".