74623606776648 has 320 divisors, whose sum is σ = 216733172040000. Its totient is φ = 23973137395200.

The previous prime is 74623606776647. The next prime is 74623606776661. The reversal of 74623606776648 is 84667760632647.

74623606776648 is a `hidden beast` number, since 7 + 4 + 6 + 2 + 3 + 606 + 7 + 7 + 6 + 6 + 4 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 (74623606776643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 824534103 + ... + 824624601.

It is an arithmetic number, because the mean of its divisors is an integer number (677291162625).

Almost surely, 2^{74623606776648} 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 74623606776648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108366586020000).

74623606776648 is an abundant number, since it is smaller than the sum of its proper divisors (142109565263352).

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

74623606776648 is a wasteful number, since it uses less digits than its factorization.

74623606776648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90954 (or 90941 counting only the distinct ones).

The product of its (nonzero) digits is 2048385024, while the sum is 72.

The spelling of 74623606776648 in words is "seventy-four trillion, six hundred twenty-three billion, six hundred six million, seven hundred seventy-six thousand, six hundred forty-eight".