7921494835200 has 720 divisors, whose sum is σ = 30635834320000. Its totient is φ = 2001166663680.

The previous prime is 7921494835151. The next prime is 7921494835201. The reversal of 7921494835200 is 25384941297.

7921494835200 is a `hidden beast` number, since 7 + 9 + 21 + 4 + 94 + 8 + 3 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7921494835201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 210105951 + ... + 210143649.

Almost surely, 2^{7921494835200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7921494835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15317917160000).

7921494835200 is an abundant number, since it is smaller than the sum of its proper divisors (22714339484800).

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

7921494835200 is a wasteful number, since it uses less digits than its factorization.

7921494835200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37765 (or 37728 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 7921494835200 in words is "seven trillion, nine hundred twenty-one billion, four hundred ninety-four million, eight hundred thirty-five thousand, two hundred".