5790643600 has 90 divisors (see below), whose sum is σ = 16183426434. Its totient is φ = 1985356800.

The previous prime is 5790643567. The next prime is 5790643609. The reversal of 5790643600 is 63460975.

It can be written as a sum of positive squares in 3 ways, for example, as 1168819344 + 4621824256 = 34188^2 + 67984^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5790643609) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 128121 + ... + 167320.

Almost surely, 2^5790643600 is an apocalyptic number.

5790643600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5790643600 is an abundant number, since it is smaller than the sum of its proper divisors (10392782834).

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

5790643600 is a wasteful number, since it uses less digits than its factorization.

5790643600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295473 (or 295455 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 5790643600 is about 76096.2784898184. The cubic root of 5790643600 is about 1795.7351292503.

The spelling of 5790643600 in words is "five billion, seven hundred ninety million, six hundred forty-three thousand, six hundred".