6410248740 has 192 divisors, whose sum is σ = 23578329600. Its totient is φ = 1414651392.

The previous prime is 6410248729. The next prime is 6410248799. The reversal of 6410248740 is 478420146.

6410248740 is a `hidden beast` number, since 641 + 0 + 2 + 4 + 8 + 7 + 4 + 0 = 666.

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 = 6410248695 and 6410248704.

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, 80382 + ... + 138858.

It is an arithmetic number, because the mean of its divisors is an integer number (122803800).

Almost surely, 2^6410248740 is an apocalyptic number.

6410248740 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 6410248740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11789164800).

6410248740 is an abundant number, since it is smaller than the sum of its proper divisors (17168080860).

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

6410248740 is a wasteful number, since it uses less digits than its factorization.

6410248740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58531 (or 58523 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 6410248740 is about 80064.0290017933. The cubic root of 6410248740 is about 1857.6260556775.

Adding to 6410248740 its reverse (478420146), we get a palindrome (6888668886).

The spelling of 6410248740 in words is "six billion, four hundred ten million, two hundred forty-eight thousand, seven hundred forty".