74800224576000 has 2560 divisors, whose sum is σ = 351041714749440. Its totient is φ = 15248203776000.

The previous prime is 74800224575987. The next prime is 74800224576059. The reversal of 74800224576000 is 67542200847.

It is a happy number.

74800224576000 is a `hidden beast` number, since 74 + 8 + 0 + 0 + 2 + 2 + 4 + 576 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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 255 ways as a sum of consecutive naturals, for example, 7051962697 + ... + 7051973303.

It is an arithmetic number, because the mean of its divisors is an integer number (137125669824).

Almost surely, 2^{74800224576000} is an apocalyptic number.

74800224576000 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 74800224576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175520857374720).

74800224576000 is an abundant number, since it is smaller than the sum of its proper divisors (276241490173440).

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

74800224576000 is a wasteful number, since it uses less digits than its factorization.

74800224576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10720 (or 10688 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

Adding to 74800224576000 its reverse (67542200847), we get a palindrome (74867766776847).

The spelling of 74800224576000 in words is "seventy-four trillion, eight hundred billion, two hundred twenty-four million, five hundred seventy-six thousand".