616543488000 has 2304 divisors, whose sum is σ = 2712235518720. Its totient is φ = 138018816000.

The previous prime is 616543487957. The next prime is 616543488049. The reversal of 616543488000 is 884345616.

616543488000 is a `hidden beast` number, since 6 + 165 + 4 + 3 + 488 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×616543488000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 11632895974 + ... + 11632896026.

It is an arithmetic number, because the mean of its divisors is an integer number (1177185555).

Almost surely, 2^616543488000 is an apocalyptic number.

616543488000 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 616543488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356117759360).

616543488000 is an abundant number, since it is smaller than the sum of its proper divisors (2095692030720).

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

616543488000 is a wasteful number, since it uses less digits than its factorization.

616543488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 616543488000 in words is "six hundred sixteen billion, five hundred forty-three million, four hundred eighty-eight thousand".