7464130560 has 240 divisors, whose sum is σ = 26756730000. Its totient is φ = 1990213632.

The previous prime is 7464130547. The next prime is 7464130573. The reversal of 7464130560 is 650314647.

It is a happy number.

7464130560 is a `hidden beast` number, since 7 + 4 + 64 + 1 + 30 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (7464130547) and next prime (7464130573).

It is a tau number, because it is divible by the number of its divisors (240).

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 19 ways as a sum of consecutive naturals, for example, 824941 + ... + 833939.

It is an arithmetic number, because the mean of its divisors is an integer number (111486375).

Almost surely, 2^7464130560 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 7464130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13378365000).

7464130560 is an abundant number, since it is smaller than the sum of its proper divisors (19292599440).

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

7464130560 is an equidigital number, since it uses as much as digits as its factorization.

7464130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9038 (or 9009 counting only the distinct ones).

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

The square root of 7464130560 is about 86395.1998666593. The cubic root of 7464130560 is about 1954.3082967975.

The spelling of 7464130560 in words is "seven billion, four hundred sixty-four million, one hundred thirty thousand, five hundred sixty".