73875822733440 has 1920 divisors, whose sum is σ = 329750665009920. Its totient is φ = 15431366246400.

The previous prime is 73875822733439. The next prime is 73875822733441. The reversal of 73875822733440 is 4433722857837.

It is a happy number.

73875822733440 is a `hidden beast` number, since 7 + 3 + 8 + 7 + 582 + 2 + 7 + 3 + 3 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (73875822733439) and next prime (73875822733441).

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (73875822733441) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6193992757 + ... + 6194004683.

It is an arithmetic number, because the mean of its divisors is an integer number (171745138026).

Almost surely, 2^{73875822733440} is an apocalyptic number.

73875822733440 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 73875822733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164875332504960).

73875822733440 is an abundant number, since it is smaller than the sum of its proper divisors (255874842276480).

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

73875822733440 is a wasteful number, since it uses less digits than its factorization.

73875822733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12092 (or 12058 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 63.

The spelling of 73875822733440 in words is "seventy-three trillion, eight hundred seventy-five billion, eight hundred twenty-two million, seven hundred thirty-three thousand, four hundred forty".