74129863824 has 105 divisors (see below), whose sum is σ = 215426860329. Its totient is φ = 24700152960.

The previous prime is 74129863793. The next prime is 74129863837. The reversal of 74129863824 is 42836892147.

The square root of 74129863824 is 272268.

It is a perfect power (a square), and thus also a powerful number.

74129863824 is a `hidden beast` number, since 7 + 412 + 98 + 63 + 82 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58798224 + 74071065600 = 7668^2 + 272160^2 .

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

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 20 ways as a sum of consecutive naturals, for example, 29403684 + ... + 29406204.

Almost surely, 2^74129863824 is an apocalyptic number.

74129863824 is the 272268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74129863824

74129863824 is an abundant number, since it is smaller than the sum of its proper divisors (141296996505).

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

74129863824 is an frugal number, since it uses more digits than its factorization.

74129863824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5068 (or 2526 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 74129863824 in words is "seventy-four billion, one hundred twenty-nine million, eight hundred sixty-three thousand, eight hundred twenty-four".