5768640000 has 300 divisors, whose sum is σ = 20814584076. Its totient is φ = 1537536000.

The previous prime is 5768639999. The next prime is 5768640013. The reversal of 5768640000 is 468675.

It is a happy number.

5768640000 is a `hidden beast` number, since 5 + 7 + 6 + 8 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2878999 + ... + 2881001.

Almost surely, 2^5768640000 is an apocalyptic number.

5768640000 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 5768640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10407292038).

5768640000 is an abundant number, since it is smaller than the sum of its proper divisors (15045944076).

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

5768640000 is an equidigital number, since it uses as much as digits as its factorization.

5768640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5768640000 is about 75951.5635125440. The cubic root of 5768640000 is about 1793.4577318048.

The spelling of 5768640000 in words is "five billion, seven hundred sixty-eight million, six hundred forty thousand".