6735249480960 has 4320 divisors, whose sum is σ = 33649866657792. Its totient is φ = 1264146186240.

The previous prime is 6735249480863. The next prime is 6735249481007. The reversal of 6735249480960 is 690849425376.

6735249480960 is a `hidden beast` number, since 6 + 7 + 3 + 5 + 2 + 494 + 80 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 53033460417 + ... + 53033460543.

Almost surely, 2^{6735249480960} is an apocalyptic number.

6735249480960 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 6735249480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16824933328896).

6735249480960 is an abundant number, since it is smaller than the sum of its proper divisors (26914617176832).

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

6735249480960 is a wasteful number, since it uses less digits than its factorization.

6735249480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 6735249480960 in words is "six trillion, seven hundred thirty-five billion, two hundred forty-nine million, four hundred eighty thousand, nine hundred sixty".