8425952640 has 512 divisors, whose sum is σ = 34957440000. Its totient is φ = 1877852160.

The previous prime is 8425952617. The next prime is 8425952653. The reversal of 8425952640 is 462595248.

8425952640 is a `hidden beast` number, since 84 + 2 + 5 + 9 + 526 + 40 = 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 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, 4958511 + ... + 4960209.

It is an arithmetic number, because the mean of its divisors is an integer number (68276250).

Almost surely, 2^8425952640 is an apocalyptic number.

8425952640 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 8425952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17478720000).

8425952640 is an abundant number, since it is smaller than the sum of its proper divisors (26531487360).

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

8425952640 is a wasteful number, since it uses less digits than its factorization.

8425952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 8425952640 is about 91792.9879674913. The cubic root of 8425952640 is about 2034.8840667473.

The spelling of 8425952640 in words is "eight billion, four hundred twenty-five million, nine hundred fifty-two thousand, six hundred forty".