7074876480 has 224 divisors, whose sum is σ = 27023324160. Its totient is φ = 1531975680.

The previous prime is 7074876467. The next prime is 7074876481. The reversal of 7074876480 is 846784707.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (7074876481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99975 + ... + 155385.

It is an arithmetic number, because the mean of its divisors is an integer number (120639840).

Almost surely, 2^7074876480 is an apocalyptic number.

7074876480 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 7074876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13511662080).

7074876480 is an abundant number, since it is smaller than the sum of its proper divisors (19948447680).

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

7074876480 is a wasteful number, since it uses less digits than its factorization.

7074876480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55457 (or 55447 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 51.

The square root of 7074876480 is about 84112.2849529128. The cubic root of 7074876480 is about 1919.7276523421.

The spelling of 7074876480 in words is "seven billion, seventy-four million, eight hundred seventy-six thousand, four hundred eighty".