5617472000 has 160 divisors (see below), whose sum is σ = 16009868160. Its totient is φ = 1925836800.

The previous prime is 5617471997. The next prime is 5617472023. The reversal of 5617472000 is 2747165.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441731 + ... + 454269.

It is an arithmetic number, because the mean of its divisors is an integer number (100061676).

Almost surely, 2^5617472000 is an apocalyptic number.

5617472000 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 5617472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8004934080).

5617472000 is an abundant number, since it is smaller than the sum of its proper divisors (10392396160).

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

5617472000 is an equidigital number, since it uses as much as digits as its factorization.

5617472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12579 (or 12553 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 5617472000 is about 74949.7965307445. The cubic root of 5617472000 is about 1777.6529264172.

The spelling of 5617472000 in words is "five billion, six hundred seventeen million, four hundred seventy-two thousand".