7144999680 has 864 divisors, whose sum is σ = 30064656384. Its totient is φ = 1430618112.

The previous prime is 7144999661. The next prime is 7144999681. The reversal of 7144999680 is 869994417.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7144999680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7144999681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56259777 + ... + 56259903.

It is an arithmetic number, because the mean of its divisors is an integer number (34797056).

Almost surely, 2^7144999680 is an apocalyptic number.

7144999680 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 7144999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15032328192).

7144999680 is an abundant number, since it is smaller than the sum of its proper divisors (22919656704).

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

7144999680 is a wasteful number, since it uses less digits than its factorization.

7144999680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The square root of 7144999680 is about 84528.0999431550. The cubic root of 7144999680 is about 1926.0493232237.

The spelling of 7144999680 in words is "seven billion, one hundred forty-four million, nine hundred ninety-nine thousand, six hundred eighty".