4665937944096 has 768 divisors, whose sum is σ = 16958158963200. Its totient is φ = 1226244096000.

The previous prime is 4665937944029. The next prime is 4665937944139. The reversal of 4665937944096 is 6904497395664.

4665937944096 is a `hidden beast` number, since 4 + 6 + 6 + 5 + 93 + 7 + 9 + 440 + 96 = 666.

It is a super-3 number, since 3×4665937944096³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 1472367600 + ... + 1472370768.

It is an arithmetic number, because the mean of its divisors is an integer number (22080936150).

Almost surely, 2^{4665937944096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4665937944096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8479079481600).

4665937944096 is an abundant number, since it is smaller than the sum of its proper divisors (12292221019104).

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

4665937944096 is a wasteful number, since it uses less digits than its factorization.

4665937944096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3930 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 1058158080, while the sum is 72.

The spelling of 4665937944096 in words is "four trillion, six hundred sixty-five billion, nine hundred thirty-seven million, nine hundred forty-four thousand, ninety-six".