5132764000 has 384 divisors, whose sum is σ = 15850598400. Its totient is φ = 1590220800.

The previous prime is 5132763989. The next prime is 5132764001. The reversal of 5132764000 is 4672315.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 5132764000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5132764001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21475881 + ... + 21476119.

It is an arithmetic number, because the mean of its divisors is an integer number (41277600).

Almost surely, 2^5132764000 is an apocalyptic number.

5132764000 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 5132764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7925299200).

5132764000 is an abundant number, since it is smaller than the sum of its proper divisors (10717834400).

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

5132764000 is a wasteful number, since it uses less digits than its factorization.

5132764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 5132764000 is about 71643.3109229326. The cubic root of 5132764000 is about 1724.9788137144.

The spelling of 5132764000 in words is "five billion, one hundred thirty-two million, seven hundred sixty-four thousand".