4626372481920 has 1536 divisors, whose sum is σ = 20129140224000. Its totient is φ = 983408836608.

The previous prime is 4626372481889. The next prime is 4626372481921. The reversal of 4626372481920 is 291842736264.

It is a happy number.

4626372481920 is a `hidden beast` number, since 4 + 6 + 2 + 6 + 3 + 72 + 481 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4626372481921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3111211417 + ... + 3111212903.

It is an arithmetic number, because the mean of its divisors is an integer number (13104909000).

Almost surely, 2^{4626372481920} is an apocalyptic number.

4626372481920 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 4626372481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10064570112000).

4626372481920 is an abundant number, since it is smaller than the sum of its proper divisors (15502767742080).

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

4626372481920 is a wasteful number, since it uses less digits than its factorization.

4626372481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 4626372481920 in words is "four trillion, six hundred twenty-six billion, three hundred seventy-two million, four hundred eighty-one thousand, nine hundred twenty".