6402486240 has 480 divisors, whose sum is σ = 24105755520. Its totient is φ = 1602353664.

The previous prime is 6402486173. The next prime is 6402486269. The reversal of 6402486240 is 426842046.

It is a happy number.

6402486240 is a `hidden beast` number, since 6 + 4 + 0 + 24 + 8 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 6402486195 and 6402486204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59836267 + ... + 59836373.

It is an arithmetic number, because the mean of its divisors is an integer number (50220324).

Almost surely, 2^6402486240 is an apocalyptic number.

6402486240 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 6402486240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12052877760).

6402486240 is an abundant number, since it is smaller than the sum of its proper divisors (17703269280).

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

6402486240 is an equidigital number, since it uses as much as digits as its factorization.

6402486240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 6402486240 is about 80015.5374911648. The cubic root of 6402486240 is about 1856.8759211492.

The spelling of 6402486240 in words is "six billion, four hundred two million, four hundred eighty-six thousand, two hundred forty".