74377388160 has 640 divisors, whose sum is σ = 288967195440. Its totient is φ = 18154782720.

The previous prime is 74377388159. The next prime is 74377388203. The reversal of 74377388160 is 6188377347.

74377388160 is a `hidden beast` number, since 7 + 437 + 73 + 8 + 81 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 61452426816 + 12924961344 = 247896^2 + 113688^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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 = 74377388097 and 74377388106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32606220 + ... + 32608500.

Almost surely, 2^74377388160 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 74377388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144483597720).

74377388160 is an abundant number, since it is smaller than the sum of its proper divisors (214589807280).

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

74377388160 is a wasteful number, since it uses less digits than its factorization.

74377388160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 74377388160 in words is "seventy-four billion, three hundred seventy-seven million, three hundred eighty-eight thousand, one hundred sixty".