74743286768640 has 2112 divisors, whose sum is σ = 325114365600000. Its totient is φ = 16212978302976.

The previous prime is 74743286768629. The next prime is 74743286768641. The reversal of 74743286768640 is 4686768234747.

74743286768640 is a `hidden beast` number, since 7 + 4 + 7 + 432 + 8 + 6 + 76 + 86 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (74743286768641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11589900136 + ... + 11589906584.

Almost surely, 2^{74743286768640} is an apocalyptic number.

74743286768640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74743286768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162557182800000).

74743286768640 is an abundant number, since it is smaller than the sum of its proper divisors (250371078831360).

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

74743286768640 is a wasteful number, since it uses less digits than its factorization.

74743286768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6585 (or 6554 counting only the distinct ones).

The product of its (nonzero) digits is 1820786688, while the sum is 72.

The spelling of 74743286768640 in words is "seventy-four trillion, seven hundred forty-three billion, two hundred eighty-six million, seven hundred sixty-eight thousand, six hundred forty".