74585303352 has 192 divisors, whose sum is σ = 236347800000. Its totient is φ = 21239801856.

The previous prime is 74585303327. The next prime is 74585303389. The reversal of 74585303352 is 25330358547.

74585303352 is a `hidden beast` number, since 7 + 4 + 585 + 30 + 3 + 35 + 2 = 666.

It is a super-2 number, since 2×74585303352² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 74585303298 and 74585303307.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7725024 + ... + 7734672.

It is an arithmetic number, because the mean of its divisors is an integer number (1230978125).

Almost surely, 2^74585303352 is an apocalyptic number.

74585303352 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 74585303352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118173900000).

74585303352 is an abundant number, since it is smaller than the sum of its proper divisors (161762496648).

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

74585303352 is a wasteful number, since it uses less digits than its factorization.

74585303352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9995 (or 9974 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 74585303352 in words is "seventy-four billion, five hundred eighty-five million, three hundred three thousand, three hundred fifty-two".