616657003776 has 576 divisors, whose sum is σ = 2022794726400. Its totient is φ = 183754137600.

The previous prime is 616657003751. The next prime is 616657003843. The reversal of 616657003776 is 677300756616.

It is a happy number.

616657003776 is a `hidden beast` number, since 6 + 1 + 66 + 570 + 0 + 3 + 7 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 1863011931 + ... + 1863012261.

It is an arithmetic number, because the mean of its divisors is an integer number (3511796400).

Almost surely, 2^616657003776 is an apocalyptic number.

616657003776 is a gapful number since it is divisible by the number (66) 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 616657003776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011397363200).

616657003776 is an abundant number, since it is smaller than the sum of its proper divisors (1406137722624).

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

616657003776 is a wasteful number, since it uses less digits than its factorization.

616657003776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 616657003776 in words is "six hundred sixteen billion, six hundred fifty-seven million, three thousand, seven hundred seventy-six".