7812863944704 has 1728 divisors, whose sum is σ = 29697648140160. Its totient is φ = 1925362483200.

The previous prime is 7812863944681. The next prime is 7812863944759. The reversal of 7812863944704 is 4074493682187.

7812863944704 is a `hidden beast` number, since 7 + 8 + 12 + 8 + 63 + 94 + 470 + 4 = 666.

It is a super-2 number, since 2×7812863944704² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 59640182719 + ... + 59640182849.

It is an arithmetic number, because the mean of its divisors is an integer number (17186138970).

Almost surely, 2^{7812863944704} is an apocalyptic number.

7812863944704 is a gapful number since it is divisible by the number (74) 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 7812863944704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14848824070080).

7812863944704 is an abundant number, since it is smaller than the sum of its proper divisors (21884784195456).

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

7812863944704 is a wasteful number, since it uses less digits than its factorization.

7812863944704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 7812863944704 in words is "seven trillion, eight hundred twelve billion, eight hundred sixty-three million, nine hundred forty-four thousand, seven hundred four".