74121925927680 has 432 divisors, whose sum is σ = 266026725697824. Its totient is φ = 19760326410240.

The previous prime is 74121925927663. The next prime is 74121925927727. The reversal of 74121925927680 is 8672952912147.

74121925927680 is a `hidden beast` number, since 7 + 412 + 1 + 92 + 59 + 2 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1180987500 + ... + 1181050260.

It is an arithmetic number, because the mean of its divisors is an integer number (615802605782).

Almost surely, 2^{74121925927680} 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 74121925927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133013362848912).

74121925927680 is an abundant number, since it is smaller than the sum of its proper divisors (191904799770144).

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

74121925927680 is an equidigital number, since it uses as much as digits as its factorization.

74121925927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66594 (or 66568 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 74121925927680 in words is "seventy-four trillion, one hundred twenty-one billion, nine hundred twenty-five million, nine hundred twenty-seven thousand, six hundred eighty".