73254343680 has 1408 divisors, whose sum is σ = 324574940160. Its totient is φ = 15288238080.

The previous prime is 73254343651. The next prime is 73254343681. The reversal of 73254343680 is 8634345237.

73254343680 is a `hidden beast` number, since 7 + 3 + 2 + 543 + 43 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73254343681) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1003484124 + ... + 1003484196.

Almost surely, 2^73254343680 is an apocalyptic number.

73254343680 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 73254343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162287470080).

73254343680 is an abundant number, since it is smaller than the sum of its proper divisors (251320596480).

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

73254343680 is a wasteful number, since it uses less digits than its factorization.

73254343680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 73254343680 in words is "seventy-three billion, two hundred fifty-four million, three hundred forty-three thousand, six hundred eighty".