73246440960 has 1920 divisors, whose sum is σ = 347467760640. Its totient is φ = 13801881600.

The previous prime is 73246440913. The next prime is 73246440977. The reversal of 73246440960 is 6904464237.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×73246440960² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 1382008294 + ... + 1382008346.

It is an arithmetic number, because the mean of its divisors is an integer number (180972792).

Almost surely, 2^73246440960 is an apocalyptic number.

73246440960 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 73246440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173733880320).

73246440960 is an abundant number, since it is smaller than the sum of its proper divisors (274221319680).

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

73246440960 is a wasteful number, since it uses less digits than its factorization.

73246440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 73246440960 in words is "seventy-three billion, two hundred forty-six million, four hundred forty thousand, nine hundred sixty".