7675834320 has 960 divisors, whose sum is σ = 35419161600. Its totient is φ = 1506677760.

The previous prime is 7675834307. The next prime is 7675834337. The reversal of 7675834320 is 234385767.

7675834320 is a `hidden beast` number, since 7 + 6 + 7 + 583 + 43 + 20 = 666.

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 191 ways as a sum of consecutive naturals, for example, 22120387 + ... + 22120733.

It is an arithmetic number, because the mean of its divisors is an integer number (36894960).

Almost surely, 2^7675834320 is an apocalyptic number.

7675834320 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 7675834320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17709580800).

7675834320 is an abundant number, since it is smaller than the sum of its proper divisors (27743327280).

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

7675834320 is a wasteful number, since it uses less digits than its factorization.

7675834320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 7675834320 is about 87611.8389260264. The cubic root of 7675834320 is about 1972.6128779250.

It can be divided in two parts, 767583 and 4320, that added together give a triangular number (771903 = T₁₂₄₂).

The spelling of 7675834320 in words is "seven billion, six hundred seventy-five million, eight hundred thirty-four thousand, three hundred twenty".