74834467680 has 192 divisors, whose sum is σ = 270049102848. Its totient is φ = 17064069120.

The previous prime is 74834467663. The next prime is 74834467681. The reversal of 74834467680 is 8676443847.

It is a super-3 number, since 3×74834467680³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 74834467680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74834467681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1388109 + ... + 1441011.

It is an arithmetic number, because the mean of its divisors is an integer number (1406505744).

Almost surely, 2^74834467680 is an apocalyptic number.

74834467680 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 74834467680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135024551424).

74834467680 is an abundant number, since it is smaller than the sum of its proper divisors (195214635168).

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

74834467680 is a wasteful number, since it uses less digits than its factorization.

74834467680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53349 (or 53341 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 57.

The spelling of 74834467680 in words is "seventy-four billion, eight hundred thirty-four million, four hundred sixty-seven thousand, six hundred eighty".