7414210080 has 216 divisors, whose sum is σ = 26451580428. Its totient is φ = 1890966528.

The previous prime is 7414210061. The next prime is 7414210087. The reversal of 7414210080 is 800124147.

It can be written as a sum of positive squares in 2 ways, for example, as 7273360656 + 140849424 = 85284^2 + 11868^2 .

It is a super-2 number, since 2×7414210080² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7414210087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 756894 + ... + 766626.

Almost surely, 2^7414210080 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 7414210080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13225790214).

7414210080 is an abundant number, since it is smaller than the sum of its proper divisors (19037370348).

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

7414210080 is a wasteful number, since it uses less digits than its factorization.

7414210080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9800 (or 9766 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 7414210080 is about 86105.8074696475. The cubic root of 7414210080 is about 1949.9417102892.

The spelling of 7414210080 in words is "seven billion, four hundred fourteen million, two hundred ten thousand, eighty".