6425107920 has 800 divisors, whose sum is σ = 28346757120. Its totient is φ = 1310100480.

The previous prime is 6425107907. The next prime is 6425107939. The reversal of 6425107920 is 297015246.

6425107920 is a `hidden beast` number, since 642 + 5 + 1 + 0 + 7 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 39417759 + ... + 39417921.

Almost surely, 2^6425107920 is an apocalyptic number.

6425107920 is a gapful number since it is divisible by the number (60) 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 6425107920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14173378560).

6425107920 is an abundant number, since it is smaller than the sum of its proper divisors (21921649200).

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

6425107920 is a wasteful number, since it uses less digits than its factorization.

6425107920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6425107920 is about 80156.7708930443. The cubic root of 6425107920 is about 1859.0602953559.

The spelling of 6425107920 in words is "six billion, four hundred twenty-five million, one hundred seven thousand, nine hundred twenty".