6321274560 has 224 divisors, whose sum is σ = 23612368320. Its totient is φ = 1586479104.

The previous prime is 6321274409. The next prime is 6321274571. The reversal of 6321274560 is 654721236.

6321274560 is a `hidden beast` number, since 6 + 3 + 21 + 2 + 74 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125362 + ... + 168398.

Almost surely, 2^6321274560 is an apocalyptic number.

6321274560 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 6321274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11806184160).

6321274560 is an abundant number, since it is smaller than the sum of its proper divisors (17291093760).

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

6321274560 is a wasteful number, since it uses less digits than its factorization.

6321274560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43080 (or 43064 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 6321274560 is about 79506.4435124600. The cubic root of 6321274560 is about 1848.9913722761.

Adding to 6321274560 its reverse (654721236), we get a palindrome (6975995796).

The spelling of 6321274560 in words is "six billion, three hundred twenty-one million, two hundred seventy-four thousand, five hundred sixty".