74632734349056 has 216 divisors, whose sum is σ = 231749291788560. Its totient is φ = 22962723176448.

The previous prime is 74632734349049. The next prime is 74632734349091. The reversal of 74632734349056 is 65094343723647.

74632734349056 is a `hidden beast` number, since 7 + 4 + 6 + 32 + 73 + 43 + 490 + 5 + 6 = 666.

It is a super-2 number, since 2×74632734349056² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 74632734348984 and 74632734349002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702590860 + ... + 702697076.

It is an arithmetic number, because the mean of its divisors is an integer number (1072913387910).

Almost surely, 2^{74632734349056} 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 74632734349056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115874645894280).

74632734349056 is an abundant number, since it is smaller than the sum of its proper divisors (157116557439504).

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

74632734349056 is a wasteful number, since it uses less digits than its factorization.

74632734349056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129711 (or 129694 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 63.

The spelling of 74632734349056 in words is "seventy-four trillion, six hundred thirty-two billion, seven hundred thirty-four million, three hundred forty-nine thousand, fifty-six".