74778466321440 has 960 divisors, whose sum is σ = 318788795888640. Its totient is φ = 16192539601920.

The previous prime is 74778466321397. The next prime is 74778466321469. The reversal of 74778466321440 is 4412366487747.

74778466321440 is a `hidden beast` number, since 7 + 4 + 7 + 78 + 46 + 63 + 21 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 418764975 + ... + 418943505.

It is an arithmetic number, because the mean of its divisors is an integer number (332071662384).

Almost surely, 2^{74778466321440} is an apocalyptic number.

74778466321440 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 74778466321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159394397944320).

74778466321440 is an abundant number, since it is smaller than the sum of its proper divisors (244010329567200).

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

74778466321440 is an equidigital number, since it uses as much as digits as its factorization.

74778466321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178599 (or 178567 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 63.

The spelling of 74778466321440 in words is "seventy-four trillion, seven hundred seventy-eight billion, four hundred sixty-six million, three hundred twenty-one thousand, four hundred forty".