6025328640 has 768 divisors, whose sum is σ = 23901696000. Its totient is φ = 1433272320.

The previous prime is 6025328633. The next prime is 6025328651. The reversal of 6025328640 is 468235206.

6025328640 is a `hidden beast` number, since 6 + 0 + 2 + 5 + 3 + 2 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a junction number, because it is equal to n+sod(n) for n = 6025328595 and 6025328604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162846702 + ... + 162846738.

It is an arithmetic number, because the mean of its divisors is an integer number (31122000).

Almost surely, 2^6025328640 is an apocalyptic number.

6025328640 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 6025328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11950848000).

6025328640 is an abundant number, since it is smaller than the sum of its proper divisors (17876367360).

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

6025328640 is a wasteful number, since it uses less digits than its factorization.

6025328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6025328640 is about 77622.9904087700. The cubic root of 6025328640 is about 1819.6739584209.

The spelling of 6025328640 in words is "six billion, twenty-five million, three hundred twenty-eight thousand, six hundred forty".