74524956660 has 1536 divisors, whose sum is σ = 334430208000. Its totient is φ = 13287628800.

The previous prime is 74524956637. The next prime is 74524956733. The reversal of 74524956660 is 6665942547.

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

It is a junction number, because it is equal to n+sod(n) for n = 74524956597 and 74524956606.

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 511 ways as a sum of consecutive naturals, for example, 416340451 + ... + 416340629.

It is an arithmetic number, because the mean of its divisors is an integer number (217728000).

Almost surely, 2^74524956660 is an apocalyptic number.

74524956660 is a gapful number since it is divisible by the number (70) 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 74524956660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167215104000).

74524956660 is an abundant number, since it is smaller than the sum of its proper divisors (259905251340).

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

74524956660 is a wasteful number, since it uses less digits than its factorization.

74524956660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 74524956660 in words is "seventy-four billion, five hundred twenty-four million, nine hundred fifty-six thousand, six hundred sixty".