73555742260 has 192 divisors, whose sum is σ = 209415757824. Its totient is φ = 20956838400.

The previous prime is 73555742209. The next prime is 73555742269. The reversal of 73555742260 is 6224755537.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 73555742260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73555742269) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2044225 + ... + 2079895.

It is an arithmetic number, because the mean of its divisors is an integer number (1090707072).

Almost surely, 2^73555742260 is an apocalyptic number.

73555742260 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 73555742260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104707878912).

73555742260 is an abundant number, since it is smaller than the sum of its proper divisors (135860015564).

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

73555742260 is a wasteful number, since it uses less digits than its factorization.

73555742260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35814 (or 35812 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 46.

The spelling of 73555742260 in words is "seventy-three billion, five hundred fifty-five million, seven hundred forty-two thousand, two hundred sixty".