7104679680 has 288 divisors, whose sum is σ = 26426663424. Its totient is φ = 1592967168.

The previous prime is 7104679669. The next prime is 7104679693. The reversal of 7104679680 is 869764017.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1422147 + ... + 1427133.

It is an arithmetic number, because the mean of its divisors is an integer number (91759248).

Almost surely, 2^7104679680 is an apocalyptic number.

7104679680 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 7104679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13213331712).

7104679680 is an abundant number, since it is smaller than the sum of its proper divisors (19321983744).

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

7104679680 is a wasteful number, since it uses less digits than its factorization.

7104679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5071 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 7104679680 is about 84289.2619495508. The cubic root of 7104679680 is about 1922.4195191673.

The spelling of 7104679680 in words is "seven billion, one hundred four million, six hundred seventy-nine thousand, six hundred eighty".