6759137270340 has 2880 divisors, whose sum is σ = 30228424224768. Its totient is φ = 1225447833600.

The previous prime is 6759137270311. The next prime is 6759137270351. The reversal of 6759137270340 is 430727319576.

6759137270340 is a `hidden beast` number, since 6 + 7 + 591 + 3 + 7 + 2 + 7 + 0 + 3 + 40 = 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 959 ways as a sum of consecutive naturals, for example, 28046212620 + ... + 28046212860.

Almost surely, 2^{6759137270340} is an apocalyptic number.

6759137270340 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 6759137270340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15114212112384).

6759137270340 is an abundant number, since it is smaller than the sum of its proper divisors (23469286954428).

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

6759137270340 is a wasteful number, since it uses less digits than its factorization.

6759137270340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 6759137270340 in words is "six trillion, seven hundred fifty-nine billion, one hundred thirty-seven million, two hundred seventy thousand, three hundred forty".