7947447710400 has 1680 divisors, whose sum is σ = 35007078332160. Its totient is φ = 1745755545600.

The previous prime is 7947447710357. The next prime is 7947447710401. The reversal of 7947447710400 is 40177447497.

7947447710400 is a `hidden beast` number, since 7 + 94 + 7 + 447 + 7 + 104 + 0 + 0 = 666.

It is a super-3 number, since 3×7947447710400³ (a number of 40 digits) contains 333 as substring.

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 (7947447710401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 622980822 + ... + 622993578.

Almost surely, 2^{7947447710400} 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 7947447710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17503539166080).

7947447710400 is an abundant number, since it is smaller than the sum of its proper divisors (27059630621760).

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

7947447710400 is a wasteful number, since it uses less digits than its factorization.

7947447710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12844 (or 12820 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 7947447710400 in words is "seven trillion, nine hundred forty-seven billion, four hundred forty-seven million, seven hundred ten thousand, four hundred".