4632374746944 has 224 divisors, whose sum is σ = 15633600675840. Its totient is φ = 1317599737344.

The previous prime is 4632374746891. The next prime is 4632374746949. The reversal of 4632374746944 is 4496474732364.

4632374746944 is a `hidden beast` number, since 4 + 6 + 32 + 37 + 474 + 69 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×4632374746944² (a number of 26 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4632374746949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1838737 + ... + 3556079.

It is an arithmetic number, because the mean of its divisors is an integer number (69792860160).

Almost surely, 2^{4632374746944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4632374746944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7816800337920).

4632374746944 is an abundant number, since it is smaller than the sum of its proper divisors (11001225928896).

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

4632374746944 is a wasteful number, since it uses less digits than its factorization.

4632374746944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717594 (or 1717578 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 63.

The spelling of 4632374746944 in words is "four trillion, six hundred thirty-two billion, three hundred seventy-four million, seven hundred forty-six thousand, nine hundred forty-four".