7038056480 has 288 divisors, whose sum is σ = 21187982592. Its totient is φ = 2151290880.

The previous prime is 7038056471. The next prime is 7038056489. The reversal of 7038056480 is 846508307.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7038056471) and next prime (7038056489).

It is not an unprimeable number, because it can be changed into a prime (7038056489) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13991909 + ... + 13992411.

It is an arithmetic number, because the mean of its divisors is an integer number (73569384).

Almost surely, 2^7038056480 is an apocalyptic number.

7038056480 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 7038056480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10593991296).

7038056480 is an abundant number, since it is smaller than the sum of its proper divisors (14149926112).

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

7038056480 is a wasteful number, since it uses less digits than its factorization.

7038056480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 7038056480 is about 83893.1253440948. The cubic root of 7038056480 is about 1916.3915587837.

The spelling of 7038056480 in words is "seven billion, thirty-eight million, fifty-six thousand, four hundred eighty".