73150478496 has 144 divisors (see below), whose sum is σ = 221743267200. Its totient is φ = 22807609344.

The previous prime is 73150478449. The next prime is 73150478519. The reversal of 73150478496 is 69487405137.

73150478496 is a `hidden beast` number, since 7 + 31 + 50 + 4 + 78 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347680 + ... + 516896.

It is an arithmetic number, because the mean of its divisors is an integer number (1539883800).

Almost surely, 2^73150478496 is an apocalyptic number.

73150478496 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73150478496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110871633600).

73150478496 is an abundant number, since it is smaller than the sum of its proper divisors (148592788704).

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

73150478496 is a wasteful number, since it uses less digits than its factorization.

73150478496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169331 (or 169320 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

It can be divided in two parts, 731504 and 78496, that added together give a 4-th power (810000 = 30⁴).

The spelling of 73150478496 in words is "seventy-three billion, one hundred fifty million, four hundred seventy-eight thousand, four hundred ninety-six".