74606785344 has 1008 divisors, whose sum is σ = 294824432448. Its totient is φ = 18477268992.

The previous prime is 74606785313. The next prime is 74606785367. The reversal of 74606785344 is 44358760647.

74606785344 is a `hidden beast` number, since 7 + 46 + 0 + 67 + 8 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 143 ways as a sum of consecutive naturals, for example, 168412387 + ... + 168412829.

It is an arithmetic number, because the mean of its divisors is an integer number (292484556).

Almost surely, 2^74606785344 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 74606785344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147412216224).

74606785344 is an abundant number, since it is smaller than the sum of its proper divisors (220217647104).

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

74606785344 is a wasteful number, since it uses less digits than its factorization.

74606785344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 74606785344 in words is "seventy-four billion, six hundred six million, seven hundred eighty-five thousand, three hundred forty-four".