616213908000 has 576 divisors, whose sum is σ = 2310169365504. Its totient is φ = 155312640000.

The previous prime is 616213907987. The next prime is 616213908041. The reversal of 616213908000 is 809312616.

616213908000 is a `hidden beast` number, since 616 + 2 + 1 + 39 + 0 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47981580 + ... + 47994420.

It is an arithmetic number, because the mean of its divisors is an integer number (4010710704).

Almost surely, 2^616213908000 is an apocalyptic number.

616213908000 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 616213908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155084682752).

616213908000 is an abundant number, since it is smaller than the sum of its proper divisors (1693955457504).

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

616213908000 is a wasteful number, since it uses less digits than its factorization.

616213908000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12946 (or 12925 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 616213908000 in words is "six hundred sixteen billion, two hundred thirteen million, nine hundred eight thousand".