7473786960640 has 288 divisors, whose sum is σ = 24036330157056. Its totient is φ = 2150299975680.

The previous prime is 7473786960637. The next prime is 7473786960641. The reversal of 7473786960640 is 460696873747.

It is not an unprimeable number, because it can be changed into a prime (7473786960641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1635252 + ... + 4197811.

It is an arithmetic number, because the mean of its divisors is an integer number (83459479712).

Almost surely, 2^{7473786960640} is an apocalyptic number.

7473786960640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7473786960640 is an abundant number, since it is smaller than the sum of its proper divisors (16562543196416).

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

7473786960640 is a wasteful number, since it uses less digits than its factorization.

7473786960640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5833115 (or 5833101 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 67.

The spelling of 7473786960640 in words is "seven trillion, four hundred seventy-three billion, seven hundred eighty-six million, nine hundred sixty thousand, six hundred forty".