4616357391360 has 2376 divisors, whose sum is σ = 20163543433488. Its totient is φ = 999707443200.

The previous prime is 4616357391287. The next prime is 4616357391407. The reversal of 4616357391360 is 631937536164.

4616357391360 is a `hidden beast` number, since 4 + 6 + 1 + 6 + 3 + 573 + 9 + 1 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2376).

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 = 4616357391297 and 4616357391306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 148914754545 + ... + 148914754575.

Almost surely, 2^{4616357391360} is an apocalyptic number.

4616357391360 is a gapful number since it is divisible by the number (40) 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 4616357391360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10081771716744).

4616357391360 is an abundant number, since it is smaller than the sum of its proper divisors (15547186042128).

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

4616357391360 is an equidigital number, since it uses as much as digits as its factorization.

4616357391360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 4616357391360 in words is "four trillion, six hundred sixteen billion, three hundred fifty-seven million, three hundred ninety-one thousand, three hundred sixty".