6619611122400 has 288 divisors, whose sum is σ = 21727939322880. Its totient is φ = 1750423265280.

The previous prime is 6619611122317. The next prime is 6619611122431. The reversal of 6619611122400 is 42211169166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287885304 + ... + 287908296.

It is an arithmetic number, because the mean of its divisors is an integer number (75444233760).

Almost surely, 2^{6619611122400} is an apocalyptic number.

6619611122400 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 6619611122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10863969661440).

6619611122400 is an abundant number, since it is smaller than the sum of its proper divisors (15108328200480).

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

6619611122400 is a wasteful number, since it uses less digits than its factorization.

6619611122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24018 (or 24005 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 6619611122400 in words is "six trillion, six hundred nineteen billion, six hundred eleven million, one hundred twenty-two thousand, four hundred".