74721419745120 has 480 divisors, whose sum is σ = 270283983520320. Its totient is φ = 19429081251840.

The previous prime is 74721419745101. The next prime is 74721419745121. The reversal of 74721419745120 is 2154791412747.

74721419745120 is a `hidden beast` number, since 7 + 4 + 72 + 14 + 1 + 97 + 451 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74721419745121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 995199741 + ... + 995274819.

It is an arithmetic number, because the mean of its divisors is an integer number (563091632334).

Almost surely, 2^{74721419745120} 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 74721419745120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135141991760160).

74721419745120 is an abundant number, since it is smaller than the sum of its proper divisors (195562563775200).

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

74721419745120 is a wasteful number, since it uses less digits than its factorization.

74721419745120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77020 (or 77003 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 74721419745120 in words is "seventy-four trillion, seven hundred twenty-one billion, four hundred nineteen million, seven hundred forty-five thousand, one hundred twenty".