7483942771200 has 2880 divisors, whose sum is σ = 33984158208000. Its totient is φ = 1593082183680.

The previous prime is 7483942771199. The next prime is 7483942771213. The reversal of 7483942771200 is 21772493847.

7483942771200 is a `hidden beast` number, since 7 + 4 + 8 + 3 + 9 + 427 + 7 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 287 ways as a sum of consecutive naturals, for example, 32680972686 + ... + 32680972914.

Almost surely, 2^{7483942771200} is an apocalyptic number.

7483942771200 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 7483942771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16992079104000).

7483942771200 is an abundant number, since it is smaller than the sum of its proper divisors (26500215436800).

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

7483942771200 is a wasteful number, since it uses less digits than its factorization.

7483942771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 7483942771200 in words is "seven trillion, four hundred eighty-three billion, nine hundred forty-two million, seven hundred seventy-one thousand, two hundred".