5776260672 has 224 divisors, whose sum is σ = 18895161600. Its totient is φ = 1516511232.

The previous prime is 5776260667. The next prime is 5776260689. The reversal of 5776260672 is 2760626775.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4699354 + ... + 4700582.

It is an arithmetic number, because the mean of its divisors is an integer number (84353400).

Almost surely, 2^5776260672 is an apocalyptic number.

5776260672 is a gapful number since it is divisible by the number (52) 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 5776260672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9447580800).

5776260672 is an abundant number, since it is smaller than the sum of its proper divisors (13118900928).

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

5776260672 is a wasteful number, since it uses less digits than its factorization.

5776260672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The square root of 5776260672 is about 76001.7149280199. The cubic root of 5776260672 is about 1794.2471344546.

The spelling of 5776260672 in words is "five billion, seven hundred seventy-six million, two hundred sixty thousand, six hundred seventy-two".