616261080000 has 280 divisors, whose sum is σ = 2126099530368. Its totient is φ = 157190528000.

The previous prime is 616261079983. The next prime is 616261080007. The reversal of 616261080000 is 80162616.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 616261080000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616261080007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2648359 + ... + 2871641.

Almost surely, 2^616261080000 is an apocalyptic number.

616261080000 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 616261080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063049765184).

616261080000 is an abundant number, since it is smaller than the sum of its proper divisors (1509838450368).

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

616261080000 is a wasteful number, since it uses less digits than its factorization.

616261080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223341 (or 223316 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 616261080000 in words is "six hundred sixteen billion, two hundred sixty-one million, eighty thousand".