616862917440 has 1792 divisors, whose sum is σ = 2798736998400. Its totient is φ = 125252075520.

The previous prime is 616862917421. The next prime is 616862917453. The reversal of 616862917440 is 44719268616.

616862917440 is a `hidden beast` number, since 6 + 1 + 6 + 8 + 629 + 1 + 7 + 4 + 4 + 0 = 666.

616862917440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6359411472 + ... + 6359411568.

It is an arithmetic number, because the mean of its divisors is an integer number (1561795200).

Almost surely, 2^616862917440 is an apocalyptic number.

616862917440 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 616862917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399368499200).

616862917440 is an abundant number, since it is smaller than the sum of its proper divisors (2181874080960).

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

616862917440 is a wasteful number, since it uses less digits than its factorization.

616862917440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 616862917440 in words is "six hundred sixteen billion, eight hundred sixty-two million, nine hundred seventeen thousand, four hundred forty".