74746685520 has 640 divisors, whose sum is σ = 293939520000. Its totient is φ = 17409779712.

The previous prime is 74746685483. The next prime is 74746685537. The reversal of 74746685520 is 2558664747.

It is a happy number.

74746685520 is a `hidden beast` number, since 7 + 47 + 46 + 6 + 8 + 552 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90164466 + ... + 90165294.

It is an arithmetic number, because the mean of its divisors is an integer number (459280500).

Almost surely, 2^74746685520 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 74746685520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146969760000).

74746685520 is an abundant number, since it is smaller than the sum of its proper divisors (219192834480).

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

74746685520 is a wasteful number, since it uses less digits than its factorization.

74746685520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 74746685520 in words is "seventy-four billion, seven hundred forty-six million, six hundred eighty-five thousand, five hundred twenty".