7921791187200 has 2160 divisors, whose sum is σ = 33819392420352. Its totient is φ = 1811496960000.

The previous prime is 7921791187153. The next prime is 7921791187223. The reversal of 7921791187200 is 27811971297.

7921791187200 is a `hidden beast` number, since 7 + 92 + 179 + 1 + 187 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×7921791187200² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7247749854 + ... + 7247750946.

Almost surely, 2^{7921791187200} 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 7921791187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16909696210176).

7921791187200 is an abundant number, since it is smaller than the sum of its proper divisors (25897601233152).

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

7921791187200 is a wasteful number, since it uses less digits than its factorization.

7921791187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 54.

The spelling of 7921791187200 in words is "seven trillion, nine hundred twenty-one billion, seven hundred ninety-one million, one hundred eighty-seven thousand, two hundred".