73509443840 has 288 divisors, whose sum is σ = 206906434560. Its totient is φ = 24500109312.

The previous prime is 73509443801. The next prime is 73509443923. The reversal of 73509443840 is 4834490537.

It is a super-2 number, since 2×73509443840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72853256 + ... + 72854264.

It is an arithmetic number, because the mean of its divisors is an integer number (718425120).

Almost surely, 2^73509443840 is an apocalyptic number.

73509443840 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 73509443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103453217280).

73509443840 is an abundant number, since it is smaller than the sum of its proper divisors (133396990720).

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

73509443840 is a wasteful number, since it uses less digits than its factorization.

73509443840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The spelling of 73509443840 in words is "seventy-three billion, five hundred nine million, four hundred forty-three thousand, eight hundred forty".