4662973617120 has 2016 divisors, whose sum is σ = 20937071429568. Its totient is φ = 972188614656.

The previous prime is 4662973617109. The next prime is 4662973617193. The reversal of 4662973617120 is 217163792664.

4662973617120 is a `hidden beast` number, since 4 + 6 + 6 + 2 + 9 + 7 + 3 + 617 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 7207068637 + ... + 7207069283.

It is an arithmetic number, because the mean of its divisors is an integer number (10385452098).

Almost surely, 2^{4662973617120} is an apocalyptic number.

4662973617120 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 4662973617120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10468535714784).

4662973617120 is an abundant number, since it is smaller than the sum of its proper divisors (16274097812448).

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

4662973617120 is a wasteful number, since it uses less digits than its factorization.

4662973617120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 4662973617120 in words is "four trillion, six hundred sixty-two billion, nine hundred seventy-three million, six hundred seventeen thousand, one hundred twenty".