4811364480 has 768 divisors, whose sum is σ = 18938707200. Its totient is φ = 1029439488.

The previous prime is 4811364443. The next prime is 4811364499. The reversal of 4811364480 is 844631184.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165909106 + ... + 165909134.

It is an arithmetic number, because the mean of its divisors is an integer number (24659775).

Almost surely, 2^4811364480 is an apocalyptic number.

4811364480 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 4811364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9469353600).

4811364480 is an abundant number, since it is smaller than the sum of its proper divisors (14127342720).

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

4811364480 is a wasteful number, since it uses less digits than its factorization.

4811364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 4811364480 is about 69363.9998846664. Note that the first 3 decimals coincide. The cubic root of 4811364480 is about 1688.1955554606.

It can be divided in two parts, 48 and 11364480, that added together give a triangular number (11364528 = T₄₇₆₇).

The spelling of 4811364480 in words is "four billion, eight hundred eleven million, three hundred sixty-four thousand, four hundred eighty".