7415815680 has 960 divisors, whose sum is σ = 33030885888. Its totient is φ = 1552711680.

The previous prime is 7415815661. The next prime is 7415815681. The reversal of 7415815680 is 865185147.

7415815680 is a `hidden beast` number, since 7 + 4 + 1 + 5 + 81 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7415815681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56609215 + ... + 56609345.

Almost surely, 2^7415815680 is an apocalyptic number.

7415815680 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 7415815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16515442944).

7415815680 is an abundant number, since it is smaller than the sum of its proper divisors (25615070208).

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

7415815680 is a wasteful number, since it uses less digits than its factorization.

7415815680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 7415815680 is about 86115.1303778842. The cubic root of 7415815680 is about 1950.0824580516.

The spelling of 7415815680 in words is "seven billion, four hundred fifteen million, eight hundred fifteen thousand, six hundred eighty".