7983749188800 has 1680 divisors, whose sum is σ = 36934415831808. Its totient is φ = 1643236761600.

The previous prime is 7983749188759. The next prime is 7983749188819. The reversal of 7983749188800 is 88819473897.

7983749188800 is a `hidden beast` number, since 7 + 98 + 374 + 91 + 8 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×7983749188800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 1067770662 + ... + 1067778138.

Almost surely, 2^{7983749188800} is an apocalyptic number.

7983749188800 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 7983749188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18467207915904).

7983749188800 is an abundant number, since it is smaller than the sum of its proper divisors (28950666643008).

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

7983749188800 is a wasteful number, since it uses less digits than its factorization.

7983749188800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7636 (or 7612 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 72.

The spelling of 7983749188800 in words is "seven trillion, nine hundred eighty-three billion, seven hundred forty-nine million, one hundred eighty-eight thousand, eight hundred".