6120260640 has 576 divisors, whose sum is σ = 23707313280. Its totient is φ = 1473638400.

The previous prime is 6120260603. The next prime is 6120260689. The reversal of 6120260640 is 460620216.

It is a happy number.

6120260640 is a `hidden beast` number, since 6 + 12 + 0 + 2 + 6 + 0 + 640 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 60596590 + ... + 60596690.

It is an arithmetic number, because the mean of its divisors is an integer number (41158530).

Almost surely, 2^6120260640 is an apocalyptic number.

6120260640 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 6120260640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11853656640).

6120260640 is an abundant number, since it is smaller than the sum of its proper divisors (17587052640).

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

6120260640 is a wasteful number, since it uses less digits than its factorization.

6120260640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6120260640 is about 78232.0946926516. The cubic root of 6120260640 is about 1829.1808212113.

Adding to 6120260640 its reverse (460620216), we get a palindrome (6580880856).

The spelling of 6120260640 in words is "six billion, one hundred twenty million, two hundred sixty thousand, six hundred forty".