73748838240 has 288 divisors, whose sum is σ = 313768256256. Its totient is φ = 15324410880.

The previous prime is 73748838239. The next prime is 73748838283. The reversal of 73748838240 is 4283884737.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×73748838240³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221682 + ... + 443441.

It is an arithmetic number, because the mean of its divisors is an integer number (1089473112).

Almost surely, 2^73748838240 is an apocalyptic number.

73748838240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

73748838240 is an abundant number, since it is smaller than the sum of its proper divisors (240019418016).

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

73748838240 is a wasteful number, since it uses less digits than its factorization.

73748838240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665162 (or 665151 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 73748838240 in words is "seventy-three billion, seven hundred forty-eight million, eight hundred thirty-eight thousand, two hundred forty".