74226720641500 has 288 divisors, whose sum is σ = 189455239733760. Its totient is φ = 25331093760000.

The previous prime is 74226720641371. The next prime is 74226720641501. The reversal of 74226720641500 is 514602762247.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74226720641501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4705927614 + ... + 4705943386.

It is an arithmetic number, because the mean of its divisors is an integer number (657830693520).

Almost surely, 2^{74226720641500} is an apocalyptic number.

74226720641500 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 74226720641500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94727619866880).

74226720641500 is an abundant number, since it is smaller than the sum of its proper divisors (115228519092260).

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

74226720641500 is a wasteful number, since it uses less digits than its factorization.

74226720641500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16686 (or 16667 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 46.

The spelling of 74226720641500 in words is "seventy-four trillion, two hundred twenty-six billion, seven hundred twenty million, six hundred forty-one thousand, five hundred".