7874873395200 has 1728 divisors, whose sum is σ = 35191997568000. Its totient is φ = 1704877424640.

The previous prime is 7874873395171. The next prime is 7874873395201. The reversal of 7874873395200 is 25933784787.

7874873395200 is a `hidden beast` number, since 7 + 8 + 7 + 4 + 8 + 73 + 39 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×7874873395200³ (a number of 40 digits) contains 333 as substring.

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 (7874873395201) 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 143 ways as a sum of consecutive naturals, for example, 1654730421 + ... + 1654735179.

Almost surely, 2^{7874873395200} is an apocalyptic number.

7874873395200 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 7874873395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17595998784000).

7874873395200 is an abundant number, since it is smaller than the sum of its proper divisors (27317124172800).

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

7874873395200 is a wasteful number, since it uses less digits than its factorization.

7874873395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4795 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 7874873395200 in words is "seven trillion, eight hundred seventy-four billion, eight hundred seventy-three million, three hundred ninety-five thousand, two hundred".