73874700066288 has 320 divisors, whose sum is σ = 229405431398400. Its totient is φ = 20234841984000.

The previous prime is 73874700066283. The next prime is 73874700066301. The reversal of 73874700066288 is 88266000747837.

It is a happy number.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73874700066283) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20407578 + ... + 23753286.

It is an arithmetic number, because the mean of its divisors is an integer number (716891973120).

Almost surely, 2^{73874700066288} 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 73874700066288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114702715699200).

73874700066288 is an abundant number, since it is smaller than the sum of its proper divisors (155530731332112).

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

73874700066288 is a wasteful number, since it uses less digits than its factorization.

73874700066288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3345852 (or 3345846 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 66.

The spelling of 73874700066288 in words is "seventy-three trillion, eight hundred seventy-four billion, seven hundred million, sixty-six thousand, two hundred eighty-eight".