5777464000 has 448 divisors, whose sum is σ = 18213092352. Its totient is φ = 1763328000.

The previous prime is 5777463997. The next prime is 5777464081. The reversal of 5777464000 is 4647775.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51127944 + ... + 51128056.

It is an arithmetic number, because the mean of its divisors is an integer number (40654224).

Almost surely, 2^5777464000 is an apocalyptic number.

5777464000 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 5777464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9106546176).

5777464000 is an abundant number, since it is smaller than the sum of its proper divisors (12435628352).

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

5777464000 is a wasteful number, since it uses less digits than its factorization.

5777464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 40.

The square root of 5777464000 is about 76009.6309687134. The cubic root of 5777464000 is about 1794.3717201239.

The spelling of 5777464000 in words is "five billion, seven hundred seventy-seven million, four hundred sixty-four thousand".