4681621977120 has 576 divisors, whose sum is σ = 18025328442240. Its totient is φ = 1134017280000.

The previous prime is 4681621977119. The next prime is 4681621977133. The reversal of 4681621977120 is 217791261864.

4681621977120 is a `hidden beast` number, since 4 + 6 + 8 + 1 + 621 + 9 + 7 + 7 + 1 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 821190270 + ... + 821195970.

It is an arithmetic number, because the mean of its divisors is an integer number (31293972990).

Almost surely, 2^{4681621977120} is an apocalyptic number.

4681621977120 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 4681621977120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9012664221120).

4681621977120 is an abundant number, since it is smaller than the sum of its proper divisors (13343706465120).

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

4681621977120 is a wasteful number, since it uses less digits than its factorization.

4681621977120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7318 (or 7293 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 4681621977120 in words is "four trillion, six hundred eighty-one billion, six hundred twenty-one million, nine hundred seventy-seven thousand, one hundred twenty".