74351949672 has 768 divisors, whose sum is σ = 271376179200. Its totient is φ = 16647966720.

The previous prime is 74351949653. The next prime is 74351949673. The reversal of 74351949672 is 27694915347.

It is a happy number.

It is a super-3 number, since 3×74351949672³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (74351949673) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 181789404 + ... + 181789812.

It is an arithmetic number, because the mean of its divisors is an integer number (353354400).

Almost surely, 2^74351949672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74351949672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135688089600).

74351949672 is an abundant number, since it is smaller than the sum of its proper divisors (197024229528).

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

74351949672 is a wasteful number, since it uses less digits than its factorization.

74351949672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 515 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 57.

The spelling of 74351949672 in words is "seventy-four billion, three hundred fifty-one million, nine hundred forty-nine thousand, six hundred seventy-two".