5647152000 has 448 divisors, whose sum is σ = 21840333840. Its totient is φ = 1290777600.

The previous prime is 5647151999. The next prime is 5647152011. The reversal of 5647152000 is 2517465.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×5647152000² = 63780651422208000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 806735997 + ... + 806736003.

Almost surely, 2^5647152000 is an apocalyptic number.

5647152000 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 5647152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10920166920).

5647152000 is an abundant number, since it is smaller than the sum of its proper divisors (16193181840).

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

5647152000 is an frugal number, since it uses more digits than its factorization.

5647152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 5647152000 is about 75147.5348897088. The cubic root of 5647152000 is about 1780.7781809755.

Multiplying 5647152000 by its sum of digits (30), we get a square (169414560000 = 411600²).

5647152000 divided by its sum of digits (30) gives a square (188238400 = 13720²).

Adding to 5647152000 its reverse (2517465), we get a palindrome (5649669465).

The spelling of 5647152000 in words is "five billion, six hundred forty-seven million, one hundred fifty-two thousand".