4616380767960 has 1152 divisors, whose sum is σ = 18727432476480. Its totient is φ = 1013036875776.

The previous prime is 4616380767953. The next prime is 4616380767989. The reversal of 4616380767960 is 697670836164.

4616380767960 is a `hidden beast` number, since 4 + 61 + 6 + 380 + 76 + 79 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 775468344 + ... + 775474296.

Almost surely, 2^{4616380767960} is an apocalyptic number.

4616380767960 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 4616380767960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9363716238240).

4616380767960 is an abundant number, since it is smaller than the sum of its proper divisors (14111051708520).

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

4616380767960 is a wasteful number, since it uses less digits than its factorization.

4616380767960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6047 (or 6012 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 4616380767960 in words is "four trillion, six hundred sixteen billion, three hundred eighty million, seven hundred sixty-seven thousand, nine hundred sixty".