74683469952 has 960 divisors, whose sum is σ = 282867836160. Its totient is φ = 18776862720.

The previous prime is 74683469951. The next prime is 74683470007. The reversal of 74683469952 is 25996438647.

74683469952 is a `hidden beast` number, since 7 + 4 + 6 + 83 + 469 + 95 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 74683469952.

It is not an unprimeable number, because it can be changed into a prime (74683469951) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1114678623 + ... + 1114678689.

It is an arithmetic number, because the mean of its divisors is an integer number (294653996).

Almost surely, 2^74683469952 is an apocalyptic number.

74683469952 is a gapful number since it is divisible by the number (72) 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 74683469952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141433918080).

74683469952 is an abundant number, since it is smaller than the sum of its proper divisors (208184366208).

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

74683469952 is a wasteful number, since it uses less digits than its factorization.

74683469952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 123 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 74683469952 in words is "seventy-four billion, six hundred eighty-three million, four hundred sixty-nine thousand, nine hundred fifty-two".