6735378275360 has 384 divisors, whose sum is σ = 20332977799680. Its totient is φ = 2052511432704.

The previous prime is 6735378275299. The next prime is 6735378275393. The reversal of 6735378275360 is 635728735376.

It is a junction number, because it is equal to n+sod(n) for n = 6735378275293 and 6735378275302.

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, 114648554 + ... + 114707286.

It is an arithmetic number, because the mean of its divisors is an integer number (52950463020).

Almost surely, 2^{6735378275360} 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 6735378275360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10166488899840).

6735378275360 is an abundant number, since it is smaller than the sum of its proper divisors (13597599524320).

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

6735378275360 is a wasteful number, since it uses less digits than its factorization.

6735378275360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59108 (or 59100 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 62.

The spelling of 6735378275360 in words is "six trillion, seven hundred thirty-five billion, three hundred seventy-eight million, two hundred seventy-five thousand, three hundred sixty".