6613954641120 has 768 divisors, whose sum is σ = 23474241552384. Its totient is φ = 1557577728000.

The previous prime is 6613954641101. The next prime is 6613954641143. The reversal of 6613954641120 is 211464593166.

It is a happy number.

It is a Cunningham number, because it is equal to 2571761²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6613954641120.

It is a congruent number.

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, 1095566742 + ... + 1095572778.

It is an arithmetic number, because the mean of its divisors is an integer number (30565418688).

Almost surely, 2^{6613954641120} is an apocalyptic number.

6613954641120 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 6613954641120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11737120776192).

6613954641120 is an abundant number, since it is smaller than the sum of its proper divisors (16860286911264).

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

6613954641120 is a wasteful number, since it uses less digits than its factorization.

6613954641120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6235 (or 6227 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 6613954641120 in words is "six trillion, six hundred thirteen billion, nine hundred fifty-four million, six hundred forty-one thousand, one hundred twenty".