6753909180480 has 896 divisors, whose sum is σ = 28239584034816. Its totient is φ = 1326534451200.

The previous prime is 6753909180439. The next prime is 6753909180583. The reversal of 6753909180480 is 840819093576.

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 127 ways as a sum of consecutive naturals, for example, 98501089 + ... + 98569631.

It is an arithmetic number, because the mean of its divisors is an integer number (31517392896).

Almost surely, 2^{6753909180480} is an apocalyptic number.

6753909180480 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 6753909180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14119792017408).

6753909180480 is an abundant number, since it is smaller than the sum of its proper divisors (21485674854336).

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

6753909180480 is a wasteful number, since it uses less digits than its factorization.

6753909180480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68655 (or 68645 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 6753909180480 in words is "six trillion, seven hundred fifty-three billion, nine hundred nine million, one hundred eighty thousand, four hundred eighty".