4967617464 has 256 divisors, whose sum is σ = 15396480000. Its totient is φ = 1476034560.

The previous prime is 4967617451. The next prime is 4967617493. The reversal of 4967617464 is 4647167694.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4967617464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11063512 + ... + 11063960.

It is an arithmetic number, because the mean of its divisors is an integer number (60142500).

Almost surely, 2^4967617464 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 4967617464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7698240000).

4967617464 is an abundant number, since it is smaller than the sum of its proper divisors (10428862536).

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

4967617464 is a wasteful number, since it uses less digits than its factorization.

4967617464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 625 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 4967617464 is about 70481.3270590161. The cubic root of 4967617464 is about 1706.2763912353.

The spelling of 4967617464 in words is "four billion, nine hundred sixty-seven million, six hundred seventeen thousand, four hundred sixty-four".