6031280640 has 960 divisors, whose sum is σ = 25794920448. Its totient is φ = 1187020800.

The previous prime is 6031280611. The next prime is 6031280653. The reversal of 6031280640 is 460821306.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6031280598 and 6031280607.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128325097 + ... + 128325143.

Almost surely, 2^6031280640 is an apocalyptic number.

6031280640 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 6031280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12897460224).

6031280640 is an abundant number, since it is smaller than the sum of its proper divisors (19763639808).

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

6031280640 is a wasteful number, since it uses less digits than its factorization.

6031280640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 6031280640 is about 77661.3201020946. The cubic root of 6031280640 is about 1820.2729373705.

The spelling of 6031280640 in words is "six billion, thirty-one million, two hundred eighty thousand, six hundred forty".