7683375420 has 1152 divisors, whose sum is σ = 33094656000. Its totient is φ = 1463132160.

The previous prime is 7683375419. The next prime is 7683375421. The reversal of 7683375420 is 245733867.

7683375420 is a `hidden beast` number, since 76 + 8 + 3 + 37 + 542 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7683375419) and next prime (7683375421).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7683375421) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 247850805 + ... + 247850835.

It is an arithmetic number, because the mean of its divisors is an integer number (28728000).

Almost surely, 2^7683375420 is an apocalyptic number.

7683375420 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 7683375420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16547328000).

7683375420 is an abundant number, since it is smaller than the sum of its proper divisors (25411280580).

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

7683375420 is a wasteful number, since it uses less digits than its factorization.

7683375420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

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

The square root of 7683375420 is about 87654.8653527002. The cubic root of 7683375420 is about 1973.2586623219.

The spelling of 7683375420 in words is "seven billion, six hundred eighty-three million, three hundred seventy-five thousand, four hundred twenty".