74226211234560 has 2592 divisors, whose sum is σ = 348474466109952. Its totient is φ = 14373314887680.

The previous prime is 74226211234501. The next prime is 74226211234561. The reversal of 74226211234560 is 6543211262247.

74226211234560 is a `hidden beast` number, since 7 + 4 + 2 + 2 + 62 + 1 + 1 + 23 + 4 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (74226211234561) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10872445867 + ... + 10872452693.

It is an arithmetic number, because the mean of its divisors is an integer number (134442309456).

Almost surely, 2^{74226211234560} is an apocalyptic number.

74226211234560 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 74226211234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174237233054976).

74226211234560 is an abundant number, since it is smaller than the sum of its proper divisors (274248254875392).

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

74226211234560 is a wasteful number, since it uses less digits than its factorization.

74226211234560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6999 (or 6975 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 74226211234560 in words is "seventy-four trillion, two hundred twenty-six billion, two hundred eleven million, two hundred thirty-four thousand, five hundred sixty".