4716748977408 has 864 divisors, whose sum is σ = 15693083078400. Its totient is φ = 1351398850560.

The previous prime is 4716748977407. The next prime is 4716748977497. The reversal of 4716748977408 is 8047798476174.

It is a happy number.

4716748977408 is a `hidden beast` number, since 4 + 7 + 1 + 6 + 74 + 89 + 77 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4716748977403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4496423668 + ... + 4496424716.

It is an arithmetic number, because the mean of its divisors is an integer number (18163290600).

Almost surely, 2^{4716748977408} is an apocalyptic number.

4716748977408 is a gapful number since it is divisible by the number (48) 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 4716748977408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7846541539200).

4716748977408 is an abundant number, since it is smaller than the sum of its proper divisors (10976334100992).

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

4716748977408 is a wasteful number, since it uses less digits than its factorization.

4716748977408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 531062784, while the sum is 72.

The spelling of 4716748977408 in words is "four trillion, seven hundred sixteen billion, seven hundred forty-eight million, nine hundred seventy-seven thousand, four hundred eight".