8425937520 has 960 divisors, whose sum is σ = 39491472384. Its totient is φ = 1612431360.

The previous prime is 8425937491. The next prime is 8425937551. The reversal of 8425937520 is 257395248.

8425937520 is a `hidden beast` number, since 8 + 4 + 2 + 593 + 7 + 52 + 0 = 666.

It is a super-3 number, since 3×8425937520³ (a number of 31 digits) contains 333 as substring.

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, 19459224 + ... + 19459656.

Almost surely, 2^8425937520 is an apocalyptic number.

8425937520 is a gapful number since it is divisible by the number (80) 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 8425937520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19745736192).

8425937520 is an abundant number, since it is smaller than the sum of its proper divisors (31065534864).

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

8425937520 is a wasteful number, since it uses less digits than its factorization.

8425937520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 8425937520 is about 91792.9056082223. The cubic root of 8425937520 is about 2034.8828495767.

The spelling of 8425937520 in words is "eight billion, four hundred twenty-five million, nine hundred thirty-seven thousand, five hundred twenty".