6107312640 has 640 divisors, whose sum is σ = 23560492032. Its totient is φ = 1330053120.

The previous prime is 6107312581. The next prime is 6107312773. The reversal of 6107312640 is 462137016.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 6107312598 and 6107312607.

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, 73582039 + ... + 73582121.

Almost surely, 2^6107312640 is an apocalyptic number.

6107312640 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 6107312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11780246016).

6107312640 is an abundant number, since it is smaller than the sum of its proper divisors (17453179392).

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

6107312640 is a wasteful number, since it uses less digits than its factorization.

6107312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 6107312640 is about 78149.2971177604. The cubic root of 6107312640 is about 1827.8899744965.

Adding to 6107312640 its reverse (462137016), we get a palindrome (6569449656).

The spelling of 6107312640 in words is "six billion, one hundred seven million, three hundred twelve thousand, six hundred forty".