73396985089680 has 240 divisors, whose sum is σ = 282934774586880. Its totient is φ = 16703193848832.

The previous prime is 73396985089663. The next prime is 73396985089697. The reversal of 73396985089680 is 8698058969337.

73396985089680 is a `hidden beast` number, since 7 + 3 + 396 + 98 + 5 + 0 + 89 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (73396985089663) and next prime (73396985089697).

It is a tau number, because it is divible by the number of its divisors (240).

It is a self number, because there is not a number n which added to its sum of digits gives 73396985089680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30642552 + ... + 32950871.

It is an arithmetic number, because the mean of its divisors is an integer number (1178894894112).

Almost surely, 2^{73396985089680} is an apocalyptic number.

73396985089680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

73396985089680 is an abundant number, since it is smaller than the sum of its proper divisors (209537789497200).

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

73396985089680 is a wasteful number, since it uses less digits than its factorization.

73396985089680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63593678 (or 63593669 counting only the distinct ones).

The product of its (nonzero) digits is 4232632320, while the sum is 81.

The spelling of 73396985089680 in words is "seventy-three trillion, three hundred ninety-six billion, nine hundred eighty-five million, eighty-nine thousand, six hundred eighty".