7679538720 has 864 divisors, whose sum is σ = 32939524800. Its totient is φ = 1682601984.

The previous prime is 7679538703. The next prime is 7679538733. The reversal of 7679538720 is 278359767.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55248411 + ... + 55248549.

It is an arithmetic number, because the mean of its divisors is an integer number (38124450).

Almost surely, 2^7679538720 is an apocalyptic number.

7679538720 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 7679538720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16469762400).

7679538720 is an abundant number, since it is smaller than the sum of its proper divisors (25259986080).

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

7679538720 is a wasteful number, since it uses less digits than its factorization.

7679538720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The square root of 7679538720 is about 87632.9773544184. The cubic root of 7679538720 is about 1972.9301581768.

The spelling of 7679538720 in words is "seven billion, six hundred seventy-nine million, five hundred thirty-eight thousand, seven hundred twenty".