74821943040 has 576 divisors, whose sum is σ = 266527134720. Its totient is φ = 17771397120.

The previous prime is 74821942963. The next prime is 74821943047. The reversal of 74821943040 is 4034912847.

It is a junction number, because it is equal to n+sod(n) for n = 74821942983 and 74821943001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74821943047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284493949 + ... + 284494211.

It is an arithmetic number, because the mean of its divisors is an integer number (462720720).

Almost surely, 2^74821943040 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 74821943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133263567360).

74821943040 is an abundant number, since it is smaller than the sum of its proper divisors (191705191680).

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

74821943040 is a wasteful number, since it uses less digits than its factorization.

74821943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 74821943040 in words is "seventy-four billion, eight hundred twenty-one million, nine hundred forty-three thousand, forty".