74346493327920 has 1440 divisors, whose sum is σ = 293021999891712. Its totient is φ = 17373388032000.

The previous prime is 74346493327831. The next prime is 74346493327921. The reversal of 74346493327920 is 2972339464347.

It is a happy number.

74346493327920 is a `hidden beast` number, since 7 + 4 + 3 + 46 + 493 + 32 + 79 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (74346493327921) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 68020578894 + ... + 68020579986.

Almost surely, 2^{74346493327920} 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 74346493327920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146510999945856).

74346493327920 is an abundant number, since it is smaller than the sum of its proper divisors (218675506563792).

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

74346493327920 is a wasteful number, since it uses less digits than its factorization.

74346493327920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 63.

The spelling of 74346493327920 in words is "seventy-four trillion, three hundred forty-six billion, four hundred ninety-three million, three hundred twenty-seven thousand, nine hundred twenty".