73228568775840 has 576 divisors, whose sum is σ = 262429910660736. Its totient is φ = 19281239212032.

The previous prime is 73228568775799. The next prime is 73228568775841. The reversal of 73228568775840 is 4857786582237.

73228568775840 is a `hidden beast` number, since 7 + 3 + 2 + 2 + 8 + 568 + 7 + 7 + 58 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (73228568775841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1632976459 + ... + 1633021301.

It is an arithmetic number, because the mean of its divisors is an integer number (455607483786).

Almost surely, 2^{73228568775840} 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 73228568775840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131214955330368).

73228568775840 is an abundant number, since it is smaller than the sum of its proper divisors (189201341884896).

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

73228568775840 is a wasteful number, since it uses less digits than its factorization.

73228568775840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45403 (or 45383 counting only the distinct ones).

The product of its (nonzero) digits is 1264435200, while the sum is 72.

The spelling of 73228568775840 in words is "seventy-three trillion, two hundred twenty-eight billion, five hundred sixty-eight million, seven hundred seventy-five thousand, eight hundred forty".