6753396729120 has 384 divisors, whose sum is σ = 22129873920000. Its totient is φ = 1729100083200.

The previous prime is 6753396729103. The next prime is 6753396729133. The reversal of 6753396729120 is 219276933576.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 4654304395 + ... + 4654305845.

It is an arithmetic number, because the mean of its divisors is an integer number (57629880000).

Almost surely, 2^{6753396729120} is an apocalyptic number.

6753396729120 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 6753396729120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11064936960000).

6753396729120 is an abundant number, since it is smaller than the sum of its proper divisors (15376477190880).

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

6753396729120 is a wasteful number, since it uses less digits than its factorization.

6753396729120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 60.

The spelling of 6753396729120 in words is "six trillion, seven hundred fifty-three billion, three hundred ninety-six million, seven hundred twenty-nine thousand, one hundred twenty".