7415216760 has 256 divisors, whose sum is σ = 26046489600. Its totient is φ = 1653829632.

The previous prime is 7415216747. The next prime is 7415216777. The reversal of 7415216760 is 676125147.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7780444 + ... + 7781396.

It is an arithmetic number, because the mean of its divisors is an integer number (101744100).

Almost surely, 2^7415216760 is an apocalyptic number.

7415216760 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 7415216760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13023244800).

7415216760 is an abundant number, since it is smaller than the sum of its proper divisors (18631272840).

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

7415216760 is a wasteful number, since it uses less digits than its factorization.

7415216760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 7415216760 is about 86111.6528699804. The cubic root of 7415216760 is about 1950.0299587771.

The spelling of 7415216760 in words is "seven billion, four hundred fifteen million, two hundred sixteen thousand, seven hundred sixty".