7985516544 has 312 divisors, whose sum is σ = 24472348992. Its totient is φ = 2601123840.

The previous prime is 7985516521. The next prime is 7985516551. The reversal of 7985516544 is 4456155897.

It is a happy number.

7985516544 is a `hidden beast` number, since 7 + 9 + 85 + 5 + 16 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (6048000) is a multiple of the sum of its prime divisors (189).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70668232 + ... + 70668344.

It is an arithmetic number, because the mean of its divisors is an integer number (78437016).

Almost surely, 2^7985516544 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 7985516544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12236174496).

7985516544 is an abundant number, since it is smaller than the sum of its proper divisors (16486832448).

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

7985516544 is an equidigital number, since it uses as much as digits as its factorization.

7985516544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 189 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The square root of 7985516544 is about 89361.7174409713. The cubic root of 7985516544 is about 1998.7923162301.

The spelling of 7985516544 in words is "seven billion, nine hundred eighty-five million, five hundred sixteen thousand, five hundred forty-four".