74121176640000 has 1600 divisors, whose sum is σ = 297622282383360. Its totient is φ = 16008192000000.

The previous prime is 74121176639971. The next prime is 74121176640031. The reversal of 74121176640000 is 4667112147.

74121176640000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1600).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 95887679614 + ... + 95887680386.

Almost surely, 2^{74121176640000} is an apocalyptic number.

74121176640000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74121176640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148811141191680).

74121176640000 is an abundant number, since it is smaller than the sum of its proper divisors (223501105743360).

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

74121176640000 is an equidigital number, since it uses as much as digits as its factorization.

74121176640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 74121176640000 in words is "seventy-four trillion, one hundred twenty-one billion, one hundred seventy-six million, six hundred forty thousand".