616706640000 has 480 divisors, whose sum is σ = 2419217040240. Its totient is φ = 149502720000.

The previous prime is 616706639981. The next prime is 616706640007. The reversal of 616706640000 is 46607616.

616706640000 is a `hidden beast` number, since 6 + 1 + 6 + 7 + 0 + 6 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (616706640007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7881067 + ... + 7958933.

Almost surely, 2^616706640000 is an apocalyptic number.

616706640000 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 616706640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209608520120).

616706640000 is an abundant number, since it is smaller than the sum of its proper divisors (1802510400240).

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

616706640000 is a wasteful number, since it uses less digits than its factorization.

616706640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77918 (or 77888 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 616706640000 in words is "six hundred sixteen billion, seven hundred six million, six hundred forty thousand".