6460640771200 has 384 divisors, whose sum is σ = 20945209420800. Its totient is φ = 1907720294400.

The previous prime is 6460640771197. The next prime is 6460640771213. The reversal of 6460640771200 is 21770460646.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3991597 + ... + 5371603.

It is an arithmetic number, because the mean of its divisors is an integer number (54544816200).

Almost surely, 2^{6460640771200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6460640771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10472604710400).

6460640771200 is an abundant number, since it is smaller than the sum of its proper divisors (14484568649600).

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

6460640771200 is a wasteful number, since it uses less digits than its factorization.

6460640771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380068 (or 1380051 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 43.

The spelling of 6460640771200 in words is "six trillion, four hundred sixty billion, six hundred forty million, seven hundred seventy-one thousand, two hundred".