7678160640 has 576 divisors, whose sum is σ = 28962662400. Its totient is φ = 1922973696.

The previous prime is 7678160629. The next prime is 7678160641. The reversal of 7678160640 is 460618767.

It is a tau number, because it is divible by the number of its divisors (576).

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 (7678160641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47105199 + ... + 47105361.

It is an arithmetic number, because the mean of its divisors is an integer number (50282400).

Almost surely, 2^7678160640 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 7678160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14481331200).

7678160640 is an abundant number, since it is smaller than the sum of its proper divisors (21284501760).

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

7678160640 is a wasteful number, since it uses less digits than its factorization.

7678160640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7678160640 is about 87625.1142081995. The cubic root of 7678160640 is about 1972.8121381438.

The spelling of 7678160640 in words is "seven billion, six hundred seventy-eight million, one hundred sixty thousand, six hundred forty".