616351680 has 560 divisors, whose sum is σ = 2596408320. Its totient is φ = 135862272.

The previous prime is 616351667. The next prime is 616351709. The reversal of 616351680 is 86153616.

It is a happy number.

616351680 is a `hidden beast` number, since 6 + 1 + 63 + 516 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7801881 + ... + 7801959.

Almost surely, 2^616351680 is an apocalyptic number.

616351680 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 616351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298204160).

616351680 is an abundant number, since it is smaller than the sum of its proper divisors (1980056640).

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

616351680 is a wasteful number, since it uses less digits than its factorization.

616351680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 616351680 is about 24826.4310765764. The cubic root of 616351680 is about 851.0260642490.

The spelling of 616351680 in words is "six hundred sixteen million, three hundred fifty-one thousand, six hundred eighty".