4682363761920 has 576 divisors, whose sum is σ = 16796055435264. Its totient is φ = 1103867412480.

The previous prime is 4682363761847. The next prime is 4682363761927. The reversal of 4682363761920 is 291673632864.

It is a super-2 number, since 2×4682363761920² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4682363761927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150093844 + ... + 150125036.

It is an arithmetic number, because the mean of its divisors is an integer number (29159818464).

Almost surely, 2^{4682363761920} is an apocalyptic number.

4682363761920 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 4682363761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8398027717632).

4682363761920 is an abundant number, since it is smaller than the sum of its proper divisors (12113691673344).

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

4682363761920 is a wasteful number, since it uses less digits than its factorization.

4682363761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31358 (or 31344 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 57.

The spelling of 4682363761920 in words is "four trillion, six hundred eighty-two billion, three hundred sixty-three million, seven hundred sixty-one thousand, nine hundred twenty".