74116350000 has 1920 divisors, whose sum is σ = 357097144320. Its totient is φ = 14256000000.

The previous prime is 74116349933. The next prime is 74116350001. The reversal of 74116350000 is 5361147.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74116350001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2390849985 + ... + 2390850015.

It is an arithmetic number, because the mean of its divisors is an integer number (185988096).

Almost surely, 2^74116350000 is an apocalyptic number.

74116350000 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 74116350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178548572160).

74116350000 is an abundant number, since it is smaller than the sum of its proper divisors (282980794320).

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

74116350000 is a wasteful number, since it uses less digits than its factorization.

74116350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 74116350000 in words is "seventy-four billion, one hundred sixteen million, three hundred fifty thousand".