7981724584960 has 1056 divisors, whose sum is σ = 24702777560448. Its totient is φ = 2413842923520.

The previous prime is 7981724584907. The next prime is 7981724584963. The reversal of 7981724584960 is 694854271897.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 7981724584960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7981724584963) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 18958965550 + ... + 18958965970.

Almost surely, 2^{7981724584960} is an apocalyptic number.

7981724584960 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 7981724584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12351388780224).

7981724584960 is an abundant number, since it is smaller than the sum of its proper divisors (16721052975488).

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

7981724584960 is a wasteful number, since it uses less digits than its factorization.

7981724584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 70.

The spelling of 7981724584960 in words is "seven trillion, nine hundred eighty-one billion, seven hundred twenty-four million, five hundred eighty-four thousand, nine hundred sixty".