6361407360 has 768 divisors, whose sum is σ = 28632787200. Its totient is φ = 1319915520.

The previous prime is 6361407337. The next prime is 6361407379. The reversal of 6361407360 is 637041636.

It is a happy number.

6361407360 is a `hidden beast` number, since 6 + 3 + 614 + 0 + 7 + 36 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9313579 + ... + 9314261.

It is an arithmetic number, because the mean of its divisors is an integer number (37282275).

Almost surely, 2^6361407360 is an apocalyptic number.

6361407360 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 6361407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14316393600).

6361407360 is an abundant number, since it is smaller than the sum of its proper divisors (22271379840).

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

6361407360 is a wasteful number, since it uses less digits than its factorization.

6361407360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 6361407360 is about 79758.4312784548. The cubic root of 6361407360 is about 1852.8961076620.

Adding to 6361407360 its reverse (637041636), we get a palindrome (6998448996).

The spelling of 6361407360 in words is "six billion, three hundred sixty-one million, four hundred seven thousand, three hundred sixty".