6813177870240 has 960 divisors, whose sum is σ = 28960628336640. Its totient is φ = 1473575639040.

The previous prime is 6813177870227. The next prime is 6813177870251. The reversal of 6813177870240 is 420787713186.

6813177870240 is a `hidden beast` number, since 6 + 8 + 1 + 317 + 7 + 87 + 0 + 240 = 666.

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 159 ways as a sum of consecutive naturals, for example, 1880533069 + ... + 1880536691.

It is an arithmetic number, because the mean of its divisors is an integer number (30167321184).

Almost surely, 2^{6813177870240} is an apocalyptic number.

6813177870240 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 6813177870240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14480314168320).

6813177870240 is an abundant number, since it is smaller than the sum of its proper divisors (22147450466400).

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

6813177870240 is a wasteful number, since it uses less digits than its factorization.

6813177870240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4767 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 6813177870240 in words is "six trillion, eight hundred thirteen billion, one hundred seventy-seven million, eight hundred seventy thousand, two hundred forty".