73857738427200 has 2016 divisors, whose sum is σ = 345866032046080. Its totient is φ = 15080264294400.

The previous prime is 73857738427153. The next prime is 73857738427211. The reversal of 73857738427200 is 272483775837.

It is a happy number.

73857738427200 is a `hidden beast` number, since 7 + 3 + 8 + 577 + 38 + 4 + 2 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

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 287 ways as a sum of consecutive naturals, for example, 1096771131 + ... + 1096838469.

Almost surely, 2^{73857738427200} is an apocalyptic number.

73857738427200 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 73857738427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172933016023040).

73857738427200 is an abundant number, since it is smaller than the sum of its proper divisors (272008293618880).

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

73857738427200 is a wasteful number, since it uses less digits than its factorization.

73857738427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67427 (or 67400 counting only the distinct ones).

The product of its (nonzero) digits is 110638080, while the sum is 63.

The spelling of 73857738427200 in words is "seventy-three trillion, eight hundred fifty-seven billion, seven hundred thirty-eight million, four hundred twenty-seven thousand, two hundred".