74713700242944 has 1440 divisors, whose sum is σ = 268083174078720. Its totient is φ = 20345786302464.

The previous prime is 74713700242921. The next prime is 74713700242963. The reversal of 74713700242944 is 44924200731747.

It is a happy number.

74713700242944 is a `hidden beast` number, since 7 + 47 + 137 + 0 + 0 + 2 + 429 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60792269722 + ... + 60792270950.

It is an arithmetic number, because the mean of its divisors is an integer number (186168870888).

Almost surely, 2^{74713700242944} 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 74713700242944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134041587039360).

74713700242944 is an abundant number, since it is smaller than the sum of its proper divisors (193369473835776).

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

74713700242944 is an equidigital number, since it uses as much as digits as its factorization.

74713700242944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 74713700242944 in words is "seventy-four trillion, seven hundred thirteen billion, seven hundred million, two hundred forty-two thousand, nine hundred forty-four".