7464741416640 has 784 divisors, whose sum is σ = 27176750726400. Its totient is φ = 1951515224064.

The previous prime is 7464741416597. The next prime is 7464741416707. The reversal of 7464741416640 is 466141474647.

7464741416640 is a `hidden beast` number, since 7 + 4 + 6 + 474 + 1 + 4 + 166 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9070159269 + ... + 9070160091.

Almost surely, 2^{7464741416640} 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 7464741416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13588375363200).

7464741416640 is an abundant number, since it is smaller than the sum of its proper divisors (19712009309760).

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

7464741416640 is an equidigital number, since it uses as much as digits as its factorization.

7464741416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 7464741416640 in words is "seven trillion, four hundred sixty-four billion, seven hundred forty-one million, four hundred sixteen thousand, six hundred forty".