6105627840 has 448 divisors, whose sum is σ = 22121164800. Its totient is φ = 1415479296.

The previous prime is 6105627833. The next prime is 6105627851. The reversal of 6105627840 is 487265016.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 25546441 + ... + 25546679.

It is an arithmetic number, because the mean of its divisors is an integer number (49377600).

Almost surely, 2^6105627840 is an apocalyptic number.

6105627840 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 6105627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11060582400).

6105627840 is an abundant number, since it is smaller than the sum of its proper divisors (16015536960).

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

6105627840 is a wasteful number, since it uses less digits than its factorization.

6105627840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 6105627840 is about 78138.5170066594. The cubic root of 6105627840 is about 1827.7218747969.

The spelling of 6105627840 in words is "six billion, one hundred five million, six hundred twenty-seven thousand, eight hundred forty".