73405359820800 has 3744 divisors, whose sum is σ = 336707533981440. Its totient is φ = 15302393856000.

The previous prime is 73405359820787. The next prime is 73405359820853. The reversal of 73405359820800 is 802895350437.

73405359820800 is a `hidden beast` number, since 7 + 3 + 4 + 0 + 535 + 9 + 8 + 20 + 80 + 0 = 666.

It is a super-2 number, since 2×73405359820800² (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 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 287 ways as a sum of consecutive naturals, for example, 726785740750 + ... + 726785740850.

Almost surely, 2^{73405359820800} is an apocalyptic number.

73405359820800 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 73405359820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168353766990720).

73405359820800 is an abundant number, since it is smaller than the sum of its proper divisors (263302174160640).

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

73405359820800 is a wasteful number, since it uses less digits than its factorization.

73405359820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 73405359820800 in words is "seventy-three trillion, four hundred five billion, three hundred fifty-nine million, eight hundred twenty thousand, eight hundred".