616533663642300 has 576 divisors, whose sum is σ = 2140703611200000. Its totient is φ = 151711141017600.

The previous prime is 616533663642269. The next prime is 616533663642313. The reversal of 616533663642300 is 3246366335616.

It is a happy number.

616533663642300 is a `hidden beast` number, since 6 + 1 + 6 + 533 + 6 + 6 + 36 + 42 + 30 + 0 = 666.

It is a super-2 number, since 2×616533663642300² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1301705926 + ... + 1302179474.

It is an arithmetic number, because the mean of its divisors is an integer number (3716499325000).

Almost surely, 2^{616533663642300} is an apocalyptic number.

616533663642300 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 616533663642300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070351805600000).

616533663642300 is an abundant number, since it is smaller than the sum of its proper divisors (1524169947557700).

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

616533663642300 is a wasteful number, since it uses less digits than its factorization.

616533663642300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474251 (or 474238 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 54.

The spelling of 616533663642300 in words is "six hundred sixteen trillion, five hundred thirty-three billion, six hundred sixty-three million, six hundred forty-two thousand, three hundred".