4916966544 has 480 divisors, whose sum is σ = 17370316800. Its totient is φ = 1325963520.

The previous prime is 4916966539. The next prime is 4916966567. The reversal of 4916966544 is 4456696194.

4916966544 = T₈₇₃₆ + T₈₇₃₇ + ... + T₈₈₆₂.

4916966544 = 39³ + 40³ + ... + 374³.

4916966544 is a `hidden beast` number, since 4 + 9 + 1 + 6 + 96 + 6 + 544 = 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, 38716209 + ... + 38716335.

It is an arithmetic number, because the mean of its divisors is an integer number (36188160).

Almost surely, 2^4916966544 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 4916966544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8685158400).

4916966544 is an abundant number, since it is smaller than the sum of its proper divisors (12453350256).

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

4916966544 is a wasteful number, since it uses less digits than its factorization.

4916966544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 229 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 4916966544 is about 70121.0848746652. The cubic root of 4916966544 is about 1700.4573791242.

The spelling of 4916966544 in words is "four billion, nine hundred sixteen million, nine hundred sixty-six thousand, five hundred forty-four".