74913405000 has 480 divisors, whose sum is σ = 274046652000. Its totient is φ = 17009664000.

The previous prime is 74913404999. The next prime is 74913405019. The reversal of 74913405000 is 50431947.

It is a super-2 number, since 2×74913405000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 166844776 + ... + 166845224.

It is an arithmetic number, because the mean of its divisors is an integer number (570930525).

Almost surely, 2^74913405000 is an apocalyptic number.

74913405000 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 74913405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137023326000).

74913405000 is an abundant number, since it is smaller than the sum of its proper divisors (199133247000).

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

74913405000 is a wasteful number, since it uses less digits than its factorization.

74913405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

Adding to 74913405000 its reverse (50431947), we get a palindrome (74963836947).

The spelling of 74913405000 in words is "seventy-four billion, nine hundred thirteen million, four hundred five thousand".