7014000480 has 192 divisors, whose sum is σ = 24008140800. Its totient is φ = 1714728960.

The previous prime is 7014000479. The next prime is 7014000509. The reversal of 7014000480 is 840004107.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 7014000480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270316 + ... + 295124.

It is an arithmetic number, because the mean of its divisors is an integer number (125042400).

Almost surely, 2^7014000480 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 7014000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12004070400).

7014000480 is an abundant number, since it is smaller than the sum of its proper divisors (16994140320).

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

7014000480 is a wasteful number, since it uses less digits than its factorization.

7014000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24877 (or 24869 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 7014000480 is about 83749.6297305248. The cubic root of 7014000480 is about 1914.2056646453.

Adding to 7014000480 its reverse (840004107), we get a palindrome (7854004587).

The spelling of 7014000480 in words is "seven billion, fourteen million, four hundred eighty", and thus it is an aban number.