73488958704288 has 384 divisors, whose sum is σ = 220458065264640. Its totient is φ = 23806806266880.

The previous prime is 73488958704263. The next prime is 73488958704299. The reversal of 73488958704288 is 88240785988437.

73488958704288 is a `hidden beast` number, since 7 + 3 + 4 + 8 + 8 + 9 + 587 + 0 + 4 + 28 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3762673083 + ... + 3762692613.

It is an arithmetic number, because the mean of its divisors is an integer number (574109544960).

Almost surely, 2^{73488958704288} 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 73488958704288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110229032632320).

73488958704288 is an abundant number, since it is smaller than the sum of its proper divisors (146969106560352).

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

73488958704288 is a wasteful number, since it uses less digits than its factorization.

73488958704288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20377 (or 20363 counting only the distinct ones).

The product of its (nonzero) digits is 6936330240, while the sum is 81.

The spelling of 73488958704288 in words is "seventy-three trillion, four hundred eighty-eight billion, nine hundred fifty-eight million, seven hundred four thousand, two hundred eighty-eight".