6460407312840 has 1024 divisors, whose sum is σ = 24438951936000. Its totient is φ = 1507026124800.

The previous prime is 6460407312791. The next prime is 6460407312841. The reversal of 6460407312840 is 482137040646.

6460407312840 is a `hidden beast` number, since 6 + 4 + 604 + 0 + 7 + 31 + 2 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6460407312841) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5222640702 + ... + 5222641938.

It is an arithmetic number, because the mean of its divisors is an integer number (23866164000).

Almost surely, 2^{6460407312840} is an apocalyptic number.

6460407312840 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 6460407312840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12219475968000).

6460407312840 is an abundant number, since it is smaller than the sum of its proper divisors (17978544623160).

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

6460407312840 is a wasteful number, since it uses less digits than its factorization.

6460407312840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 6460407312840 in words is "six trillion, four hundred sixty billion, four hundred seven million, three hundred twelve thousand, eight hundred forty".