7985642864640 has 1920 divisors, whose sum is σ = 33462863596800. Its totient is φ = 1612223348736.

The previous prime is 7985642864629. The next prime is 7985642864651. The reversal of 7985642864640 is 464682465897.

It is an interprime number because it is at equal distance from previous prime (7985642864629) and next prime (7985642864651).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150672506854 + ... + 150672506906.

It is an arithmetic number, because the mean of its divisors is an integer number (17428574790).

Almost surely, 2^{7985642864640} is an apocalyptic number.

7985642864640 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 7985642864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16731431798400).

7985642864640 is an abundant number, since it is smaller than the sum of its proper divisors (25477220732160).

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

7985642864640 is an equidigital number, since it uses as much as digits as its factorization.

7985642864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 69.

The spelling of 7985642864640 in words is "seven trillion, nine hundred eighty-five billion, six hundred forty-two million, eight hundred sixty-four thousand, six hundred forty".