7669415040 has 256 divisors, whose sum is σ = 28324926720. Its totient is φ = 1728774144.

The previous prime is 7669415029. The next prime is 7669415087. The reversal of 7669415040 is 405149667.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 7669414983 and 7669415001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 977212 + ... + 985028.

It is an arithmetic number, because the mean of its divisors is an integer number (110644245).

Almost surely, 2^7669415040 is an apocalyptic number.

7669415040 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 7669415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14162463360).

7669415040 is an abundant number, since it is smaller than the sum of its proper divisors (20655511680).

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

7669415040 is a wasteful number, since it uses less digits than its factorization.

7669415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7919 (or 7907 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 7669415040 is about 87575.1964885035. The cubic root of 7669415040 is about 1972.0628275786.

The spelling of 7669415040 in words is "seven billion, six hundred sixty-nine million, four hundred fifteen thousand, forty".