4919560464 has 320 divisors, whose sum is σ = 16438947840. Its totient is φ = 1232824320.

The previous prime is 4919560463. The next prime is 4919560567. The reversal of 4919560464 is 4640659194.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4919560463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8993439 + ... + 8993985.

It is an arithmetic number, because the mean of its divisors is an integer number (51371712).

Almost surely, 2^4919560464 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 4919560464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8219473920).

4919560464 is an abundant number, since it is smaller than the sum of its proper divisors (11519387376).

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

4919560464 is a wasteful number, since it uses less digits than its factorization.

4919560464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 4919560464 is about 70139.5784418469. The cubic root of 4919560464 is about 1700.7563490244.

The spelling of 4919560464 in words is "four billion, nine hundred nineteen million, five hundred sixty thousand, four hundred sixty-four".