5632800264 has 384 divisors, whose sum is σ = 20627792640. Its totient is φ = 1397440512.

The previous prime is 5632800221. The next prime is 5632800307. The reversal of 5632800264 is 4620082365.

It is an interprime number because it is at equal distance from previous prime (5632800221) and next prime (5632800307).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3006432 + ... + 3008304.

It is an arithmetic number, because the mean of its divisors is an integer number (53718210).

Almost surely, 2^5632800264 is an apocalyptic number.

5632800264 is a gapful number since it is divisible by the number (54) 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 5632800264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10313896320).

5632800264 is an abundant number, since it is smaller than the sum of its proper divisors (14994992376).

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

5632800264 is a wasteful number, since it uses less digits than its factorization.

5632800264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5632800264 is about 75051.9837446020. The cubic root of 5632800264 is about 1779.2683379343.

The spelling of 5632800264 in words is "five billion, six hundred thirty-two million, eight hundred thousand, two hundred sixty-four".