6388162560 has 672 divisors, whose sum is σ = 25189452288. Its totient is φ = 1486356480.

The previous prime is 6388162559. The next prime is 6388162567. The reversal of 6388162560 is 652618836.

6388162560 is a `hidden beast` number, since 6 + 3 + 8 + 81 + 6 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6388162567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148561899 + ... + 148561941.

It is an arithmetic number, because the mean of its divisors is an integer number (37484304).

Almost surely, 2^6388162560 is an apocalyptic number.

6388162560 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 6388162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12594726144).

6388162560 is an abundant number, since it is smaller than the sum of its proper divisors (18801289728).

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

6388162560 is a wasteful number, since it uses less digits than its factorization.

6388162560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 6388162560 is about 79925.9817581242. The cubic root of 6388162560 is about 1855.4901492929.

The spelling of 6388162560 in words is "six billion, three hundred eighty-eight million, one hundred sixty-two thousand, five hundred sixty".