74000003855760 has 480 divisors, whose sum is σ = 277244572176000. Its totient is φ = 17578528948224.

The previous prime is 74000003855753. The next prime is 74000003855773. The reversal of 74000003855760 is 6755830000047.

74000003855760 is a `hidden beast` number, since 7 + 4 + 0 + 0 + 0 + 0 + 0 + 38 + 557 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 248457811 + ... + 248755469.

It is an arithmetic number, because the mean of its divisors is an integer number (577592858700).

Almost surely, 2^{74000003855760} 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 74000003855760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138622286088000).

74000003855760 is an abundant number, since it is smaller than the sum of its proper divisors (203244568320240).

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

74000003855760 is a wasteful number, since it uses less digits than its factorization.

74000003855760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298783 (or 298774 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 74000003855760 in words is "seventy-four trillion, three million, eight hundred fifty-five thousand, seven hundred sixty".