7098295680 has 640 divisors, whose sum is σ = 29952552960. Its totient is φ = 1567641600.

The previous prime is 7098295679. The next prime is 7098295691. The reversal of 7098295680 is 865928907.

It is a happy number.

7098295680 is a `hidden beast` number, since 70 + 9 + 8 + 2 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 11248965 + ... + 11249595.

It is an arithmetic number, because the mean of its divisors is an integer number (46800864).

It is a vampire number, since it can be written as 79506 ⋅ 89280 (with its own digits).

Almost surely, 2^7098295680 is an apocalyptic number.

7098295680 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 7098295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14976276480).

7098295680 is an abundant number, since it is smaller than the sum of its proper divisors (22854257280).

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

7098295680 is a wasteful number, since it uses less digits than its factorization.

7098295680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 7098295680 is about 84251.3838462016. The cubic root of 7098295680 is about 1921.8435418051.

The spelling of 7098295680 in words is "seven billion, ninety-eight million, two hundred ninety-five thousand, six hundred eighty".