74463334328448 has 640 divisors, whose sum is σ = 251309087568000. Its totient is φ = 21697210810368.

The previous prime is 74463334328441. The next prime is 74463334328573. The reversal of 74463334328448 is 84482343336447.

74463334328448 is a `hidden beast` number, since 7 + 4 + 4 + 6 + 3 + 3 + 343 + 284 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (74463334328441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9262756813 + ... + 9262764851.

It is an arithmetic number, because the mean of its divisors is an integer number (392670449325).

Almost surely, 2^{74463334328448} is an apocalyptic number.

74463334328448 is a gapful number since it is divisible by the number (78) 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 74463334328448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125654543784000).

74463334328448 is an abundant number, since it is smaller than the sum of its proper divisors (176845753239552).

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

74463334328448 is a wasteful number, since it uses less digits than its factorization.

74463334328448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11714 (or 11693 counting only the distinct ones).

The product of its digits is 445906944, while the sum is 63.

The spelling of 74463334328448 in words is "seventy-four trillion, four hundred sixty-three billion, three hundred thirty-four million, three hundred twenty-eight thousand, four hundred forty-eight".