4626963855360 has 4608 divisors, whose sum is σ = 23078471270400. Its totient is φ = 859963392000.

The previous prime is 4626963855337. The next prime is 4626963855377. The reversal of 4626963855360 is 635583696264.

4626963855360 is a `hidden beast` number, since 4 + 6 + 2 + 6 + 96 + 3 + 8 + 5 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 112852776940 + ... + 112852776980.

It is an arithmetic number, because the mean of its divisors is an integer number (5008348800).

Almost surely, 2^{4626963855360} is an apocalyptic number.

4626963855360 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 4626963855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11539235635200).

4626963855360 is an abundant number, since it is smaller than the sum of its proper divisors (18451507415040).

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

4626963855360 is a wasteful number, since it uses less digits than its factorization.

4626963855360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 63.

The spelling of 4626963855360 in words is "four trillion, six hundred twenty-six billion, nine hundred sixty-three million, eight hundred fifty-five thousand, three hundred sixty".