7416180720 has 320 divisors, whose sum is σ = 28708162560. Its totient is φ = 1745998848.

The previous prime is 7416180677. The next prime is 7416180731. The reversal of 7416180720 is 270816147.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 640099 + ... + 651581.

It is an arithmetic number, because the mean of its divisors is an integer number (89713008).

Almost surely, 2^7416180720 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 7416180720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14354081280).

7416180720 is an abundant number, since it is smaller than the sum of its proper divisors (21291981840).

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

7416180720 is a wasteful number, since it uses less digits than its factorization.

7416180720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11541 (or 11529 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 7416180720 is about 86117.2498399711. The cubic root of 7416180720 is about 1950.1144548204.

Adding to 7416180720 its reverse (270816147), we get a palindrome (7686996867).

The spelling of 7416180720 in words is "seven billion, four hundred sixteen million, one hundred eighty thousand, seven hundred twenty".