74048717836800 has 1080 divisors, whose sum is σ = 311095919920500. Its totient is φ = 16770002780160.

The previous prime is 74048717836781. The next prime is 74048717836883. The reversal of 74048717836800 is 863871784047.

74048717836800 is a `hidden beast` number, since 7 + 4 + 0 + 487 + 1 + 78 + 3 + 6 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 39872253544704 + 34176464292096 = 6314448^2 + 5846064^2 .

It is a super-2 number, since 2×74048717836800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 615223026 + ... + 615343374.

Almost surely, 2^{74048717836800} is an apocalyptic number.

74048717836800 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 74048717836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155547959960250).

74048717836800 is an abundant number, since it is smaller than the sum of its proper divisors (237047202083700).

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

74048717836800 is a wasteful number, since it uses less digits than its factorization.

74048717836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120506 (or 120475 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 74048717836800 in words is "seventy-four trillion, forty-eight billion, seven hundred seventeen million, eight hundred thirty-six thousand, eight hundred".