7464960000000 has 1008 divisors, whose sum is σ = 27980621631144. Its totient is φ = 1990656000000.

The previous prime is 7464959999953. The next prime is 7464960000007. The reversal of 7464960000000 is 694647.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

7464960000000 is a `hidden beast` number, since 7 + 4 + 6 + 49 + 600 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4502816096256 + 2962143903744 = 2121984^2 + 1721088^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 7464960000000.

It is not an unprimeable number, because it can be changed into a prime (7464960000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1492991999998 + ... + 1492992000002.

Almost surely, 2^{7464960000000} 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 7464960000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13990310815572).

7464960000000 is an abundant number, since it is smaller than the sum of its proper divisors (20515661631144).

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

7464960000000 is an frugal number, since it uses more digits than its factorization.

7464960000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 7464960000000 its reverse (694647), we get a palindrome (7464960694647).

The spelling of 7464960000000 in words is "seven trillion, four hundred sixty-four billion, nine hundred sixty million", and thus it is an aban number.