73488973824 has 360 divisors, whose sum is σ = 247744733600. Its totient is φ = 20982398976.

The previous prime is 73488973807. The next prime is 73488973837. The reversal of 73488973824 is 42837988437.

73488973824 is a `hidden beast` number, since 7 + 3 + 488 + 9 + 73 + 82 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50576682 + ... + 50578134.

Almost surely, 2^73488973824 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 73488973824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123872366800).

73488973824 is an abundant number, since it is smaller than the sum of its proper divisors (174255759776).

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

73488973824 is an equidigital number, since it uses as much as digits as its factorization.

73488973824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1465 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 73488973824 in words is "seventy-three billion, four hundred eighty-eight million, nine hundred seventy-three thousand, eight hundred twenty-four".