73480193841600 has 2016 divisors, whose sum is σ = 342188911841280. Its totient is φ = 15003076608000.

The previous prime is 73480193841563. The next prime is 73480193841641. The reversal of 73480193841600 is 614839108437.

73480193841600 is a `hidden beast` number, since 7 + 34 + 8 + 0 + 193 + 8 + 416 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×73480193841600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1584250410 + ... + 1584296790.

Almost surely, 2^{73480193841600} is an apocalyptic number.

73480193841600 is a gapful number since it is divisible by the number (70) 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 73480193841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171094455920640).

73480193841600 is an abundant number, since it is smaller than the sum of its proper divisors (268708717999680).

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

73480193841600 is a wasteful number, since it uses less digits than its factorization.

73480193841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46476 (or 46442 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 73480193841600 in words is "seventy-three trillion, four hundred eighty billion, one hundred ninety-three million, eight hundred forty-one thousand, six hundred".