6813945512640 has 448 divisors, whose sum is σ = 27519850675200. Its totient is φ = 1554766036992.

The previous prime is 6813945512579. The next prime is 6813945512683. The reversal of 6813945512640 is 462155493186.

6813945512640 is a `hidden beast` number, since 6 + 8 + 139 + 455 + 12 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 34799331 + ... + 34994589.

Almost surely, 2^{6813945512640} is an apocalyptic number.

6813945512640 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 6813945512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13759925337600).

6813945512640 is an abundant number, since it is smaller than the sum of its proper divisors (20705905162560).

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

6813945512640 is a wasteful number, since it uses less digits than its factorization.

6813945512640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195869 (or 195853 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 6813945512640 in words is "six trillion, eight hundred thirteen billion, nine hundred forty-five million, five hundred twelve thousand, six hundred forty".