7052118080 has 224 divisors, whose sum is σ = 20302313472. Its totient is φ = 2281881600.

The previous prime is 7052118077. The next prime is 7052118083. The reversal of 7052118080 is 808112507.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7052118077) and next prime (7052118083).

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (7052118083) 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, 2845802 + ... + 2848278.

It is an arithmetic number, because the mean of its divisors is an integer number (90635328).

Almost surely, 2^7052118080 is an apocalyptic number.

7052118080 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 7052118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10151156736).

7052118080 is an abundant number, since it is smaller than the sum of its proper divisors (13250195392).

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

7052118080 is a wasteful number, since it uses less digits than its factorization.

7052118080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 32.

The square root of 7052118080 is about 83976.8901543752. The cubic root of 7052118080 is about 1917.6669868802. Note that the first 3 decimals are identical.

The spelling of 7052118080 in words is "seven billion, fifty-two million, one hundred eighteen thousand, eighty".