5062464000 has 960 divisors, whose sum is σ = 21509908992. Its totient is φ = 1130496000.

The previous prime is 5062463999. The next prime is 5062464019. The reversal of 5062464000 is 4642605.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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, 107711977 + ... + 107712023.

Almost surely, 2^5062464000 is an apocalyptic number.

5062464000 is a gapful number since it is divisible by the number (50) 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 5062464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10754954496).

5062464000 is an abundant number, since it is smaller than the sum of its proper divisors (16447444992).

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

5062464000 is a wasteful number, since it uses less digits than its factorization.

5062464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5062464000 is about 71150.9943711260. The cubic root of 5062464000 is about 1717.0672937253.

The spelling of 5062464000 in words is "five billion, sixty-two million, four hundred sixty-four thousand".