4964023680 has 256 divisors, whose sum is σ = 19727746560. Its totient is φ = 1031454720.

The previous prime is 4964023633. The next prime is 4964023721. The reversal of 4964023680 is 863204694.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131052 + ... + 164628.

It is an arithmetic number, because the mean of its divisors is an integer number (77061510).

Almost surely, 2^4964023680 is an apocalyptic number.

4964023680 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 4964023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9863873280).

4964023680 is an abundant number, since it is smaller than the sum of its proper divisors (14763722880).

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

4964023680 is a wasteful number, since it uses less digits than its factorization.

4964023680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33617 (or 33605 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 4964023680 is about 70455.8278639887. The cubic root of 4964023680 is about 1705.8648278687.

The spelling of 4964023680 in words is "four billion, nine hundred sixty-four million, twenty-three thousand, six hundred eighty".