7866079361280 has 1008 divisors, whose sum is σ = 32347221467904. Its totient is φ = 1794516664320.

The previous prime is 7866079361269. The next prime is 7866079361291. The reversal of 7866079361280 is 821639706687.

7866079361280 is a `hidden beast` number, since 7 + 8 + 6 + 6 + 0 + 7 + 9 + 3 + 612 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7866079361269) and next prime (7866079361291).

It is a tau number, because it is divible by the number of its divisors (1008).

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 (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5205875725 + ... + 5205877235.

It is an arithmetic number, because the mean of its divisors is an integer number (32090497488).

Almost surely, 2^{7866079361280} is an apocalyptic number.

7866079361280 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 7866079361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16173610733952).

7866079361280 is an abundant number, since it is smaller than the sum of its proper divisors (24481142106624).

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

7866079361280 is an equidigital number, since it uses as much as digits as its factorization.

7866079361280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 7866079361280 in words is "seven trillion, eight hundred sixty-six billion, seventy-nine million, three hundred sixty-one thousand, two hundred eighty".