7665414120 has 576 divisors, whose sum is σ = 31654022400. Its totient is φ = 1574277120.

The previous prime is 7665414103. The next prime is 7665414143. The reversal of 7665414120 is 214145667.

7665414120 is a `hidden beast` number, since 76 + 6 + 541 + 41 + 2 + 0 = 666.

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

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 143 ways as a sum of consecutive naturals, for example, 17460861 + ... + 17461299.

It is an arithmetic number, because the mean of its divisors is an integer number (54954900).

Almost surely, 2^7665414120 is an apocalyptic number.

7665414120 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 7665414120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15827011200).

7665414120 is an abundant number, since it is smaller than the sum of its proper divisors (23988608280).

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

7665414120 is a wasteful number, since it uses less digits than its factorization.

7665414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7665414120 is about 87552.3507394290. The cubic root of 7665414120 is about 1971.7198445317.

Adding to 7665414120 its reverse (214145667), we get a palindrome (7879559787).

It can be divided in two parts, 766541 and 4120, that added together give a triangular number (770661 = T₁₂₄₁).

The spelling of 7665414120 in words is "seven billion, six hundred sixty-five million, four hundred fourteen thousand, one hundred twenty".