7679718000 has 160 divisors (see below), whose sum is σ = 27510649920. Its totient is φ = 2047910400.

The previous prime is 7679717971. The next prime is 7679718031. The reversal of 7679718000 is 8179767.

It is a happy number.

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

It is a congruent number.

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, 17109 + ... + 125108.

It is an arithmetic number, because the mean of its divisors is an integer number (171941562).

Almost surely, 2^7679718000 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 7679718000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13755324960).

7679718000 is an abundant number, since it is smaller than the sum of its proper divisors (19830931920).

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

7679718000 is a wasteful number, since it uses less digits than its factorization.

7679718000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142249 (or 142227 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 7679718000 is about 87634.0002510441. Note that the first 3 decimals coincide. The cubic root of 7679718000 is about 1972.9455108422.

The spelling of 7679718000 in words is "seven billion, six hundred seventy-nine million, seven hundred eighteen thousand".