7658470080 has 448 divisors, whose sum is σ = 29863572480. Its totient is φ = 1837744128.

The previous prime is 7658470069. The next prime is 7658470091. The reversal of 7658470080 is 800748567.

It is an interprime number because it is at equal distance from previous prime (7658470069) and next prime (7658470091).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3377107 + ... + 3379373.

It is an arithmetic number, because the mean of its divisors is an integer number (66659760).

Almost surely, 2^7658470080 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 7658470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14931786240).

7658470080 is an abundant number, since it is smaller than the sum of its proper divisors (22205102400).

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

7658470080 is a wasteful number, since it uses less digits than its factorization.

7658470080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 7658470080 is about 87512.6852519108. The cubic root of 7658470080 is about 1971.1242760150.

The spelling of 7658470080 in words is "seven billion, six hundred fifty-eight million, four hundred seventy thousand, eighty".