4346945396640 has 1296 divisors, whose sum is σ = 19351782594144. Its totient is φ = 878634086400.

The previous prime is 4346945396617. The next prime is 4346945396723. The reversal of 4346945396640 is 466935496434.

4346945396640 is a `hidden beast` number, since 4 + 3 + 4 + 6 + 94 + 539 + 6 + 6 + 4 + 0 = 666.

4346945396640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1062560995 + ... + 1062565085.

It is an arithmetic number, because the mean of its divisors is an integer number (14931931014).

Almost surely, 2^{4346945396640} is an apocalyptic number.

4346945396640 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 4346945396640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9675891297072).

4346945396640 is an abundant number, since it is smaller than the sum of its proper divisors (15004837197504).

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

4346945396640 is a wasteful number, since it uses less digits than its factorization.

4346945396640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 63.

The spelling of 4346945396640 in words is "four trillion, three hundred forty-six billion, nine hundred forty-five million, three hundred ninety-six thousand, six hundred forty".