6735068403840 has 2048 divisors, whose sum is σ = 28674736128000. Its totient is φ = 1480749465600.

The previous prime is 6735068403761. The next prime is 6735068403857. The reversal of 6735068403840 is 483048605376.

6735068403840 is a `hidden beast` number, since 67 + 3 + 506 + 8 + 4 + 0 + 38 + 40 = 666.

It is a super-2 number, since 2×6735068403840² (a number of 26 digits) contains 22 as substring.

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 255 ways as a sum of consecutive naturals, for example, 35262138145 + ... + 35262138335.

It is an arithmetic number, because the mean of its divisors is an integer number (14001336000).

Almost surely, 2^{6735068403840} is an apocalyptic number.

6735068403840 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 6735068403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14337368064000).

6735068403840 is an abundant number, since it is smaller than the sum of its proper divisors (21939667724160).

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

6735068403840 is an equidigital number, since it uses as much as digits as its factorization.

6735068403840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 6735068403840 in words is "six trillion, seven hundred thirty-five billion, sixty-eight million, four hundred three thousand, eight hundred forty".