7863146282880 has 1152 divisors, whose sum is σ = 34259996403360. Its totient is φ = 1650268569600.

The previous prime is 7863146282869. The next prime is 7863146282899. The reversal of 7863146282880 is 882826413687.

7863146282880 is a `hidden beast` number, since 78 + 6 + 3 + 1 + 462 + 8 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

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, 196701295 + ... + 196741265.

Almost surely, 2^{7863146282880} is an apocalyptic number.

7863146282880 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 7863146282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17129998201680).

7863146282880 is an abundant number, since it is smaller than the sum of its proper divisors (26396850120480).

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

7863146282880 is a wasteful number, since it uses less digits than its factorization.

7863146282880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40068 (or 40046 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 7863146282880 in words is "seven trillion, eight hundred sixty-three billion, one hundred forty-six million, two hundred eighty-two thousand, eight hundred eighty".