7461360000 has 480 divisors, whose sum is σ = 27567831720. Its totient is φ = 1935360000.

The previous prime is 7461359999. The next prime is 7461360001. The reversal of 7461360000 is 631647.

7461360000 is a `hidden beast` number, since 7 + 46 + 13 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7461359999) and next prime (7461360001).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7461360001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 30959880 + ... + 30960120.

Almost surely, 2^7461360000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7461360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13783915860).

7461360000 is an abundant number, since it is smaller than the sum of its proper divisors (20106471720).

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

7461360000 is a wasteful number, since it uses less digits than its factorization.

7461360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 7461360000 is about 86379.1641543260. The cubic root of 7461360000 is about 1954.0664647262.

Adding to 7461360000 its reverse (631647), we get a palindrome (7461991647).

The spelling of 7461360000 in words is "seven billion, four hundred sixty-one million, three hundred sixty thousand".