2616319863360 has 896 divisors, whose sum is σ = 11185233408000. Its totient is φ = 562372263936.

The previous prime is 2616319863359. The next prime is 2616319863371. The reversal of 2616319863360 is 633689136162.

2616319863360 is a `hidden beast` number, since 2 + 61 + 63 + 198 + 6 + 336 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2616319863297 and 2616319863306.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 157421131 + ... + 157437749.

Almost surely, 2^{2616319863360} is an apocalyptic number.

2616319863360 is a gapful number since it is divisible by the number (20) 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 2616319863360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5592616704000).

2616319863360 is an abundant number, since it is smaller than the sum of its proper divisors (8568913544640).

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

2616319863360 is a wasteful number, since it uses less digits than its factorization.

2616319863360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16808 (or 16792 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 2616319863360 in words is "two trillion, six hundred sixteen billion, three hundred nineteen million, eight hundred sixty-three thousand, three hundred sixty".