74037161420800 has 288 divisors, whose sum is σ = 195200132563800. Its totient is φ = 27753111879680.

The previous prime is 74037161420713. The next prime is 74037161420843. The reversal of 74037161420800 is 802416173047.

It can be written as a sum of positive squares in 12 ways, for example, as 1873087857664 + 72164073563136 = 1368608^2 + 8494944^2 .

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 23 ways as a sum of consecutive naturals, for example, 202620666 + ... + 202985734.

Almost surely, 2^{74037161420800} 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 74037161420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97600066281900).

74037161420800 is an abundant number, since it is smaller than the sum of its proper divisors (121162971143000).

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

74037161420800 is a wasteful number, since it uses less digits than its factorization.

74037161420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365351 (or 365326 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

Adding to 74037161420800 its reverse (802416173047), we get a palindrome (74839577593847).

The spelling of 74037161420800 in words is "seventy-four trillion, thirty-seven billion, one hundred sixty-one million, four hundred twenty thousand, eight hundred".