4744629976320 has 1728 divisors, whose sum is σ = 20262638882304. Its totient is φ = 1051066368000.

The previous prime is 4744629976259. The next prime is 4744629976447. The reversal of 4744629976320 is 236799264474.

It is a happy number.

4744629976320 is a `hidden beast` number, since 4 + 7 + 4 + 462 + 9 + 97 + 63 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×4744629976320² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1581014820 + ... + 1581017820.

It is an arithmetic number, because the mean of its divisors is an integer number (11726064168).

Almost surely, 2^{4744629976320} is an apocalyptic number.

4744629976320 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 4744629976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10131319441152).

4744629976320 is an abundant number, since it is smaller than the sum of its proper divisors (15518008905984).

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

4744629976320 is a wasteful number, since it uses less digits than its factorization.

4744629976320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 4744629976320 in words is "four trillion, seven hundred forty-four billion, six hundred twenty-nine million, nine hundred seventy-six thousand, three hundred twenty".