616503065040 has 240 divisors, whose sum is σ = 2085485770368. Its totient is φ = 163207332864.

The previous prime is 616503064951. The next prime is 616503065063. The reversal of 616503065040 is 40560305616.

616503065040 is a `hidden beast` number, since 61 + 6 + 503 + 0 + 6 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 616503064986 and 616503065004.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 109054854 + ... + 109060506.

Almost surely, 2^616503065040 is an apocalyptic number.

616503065040 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 616503065040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042742885184).

616503065040 is an abundant number, since it is smaller than the sum of its proper divisors (1468982705328).

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

616503065040 is a wasteful number, since it uses less digits than its factorization.

616503065040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6746 (or 6737 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 616503065040 in words is "six hundred sixteen billion, five hundred three million, sixty-five thousand, forty".