5911764480 has 480 divisors, whose sum is σ = 21942122400. Its totient is φ = 1508474880.

The previous prime is 5911764409. The next prime is 5911764487. The reversal of 5911764480 is 844671195.

5911764480 is a `hidden beast` number, since 59 + 117 + 6 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5911764487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66424276 + ... + 66424364.

It is an arithmetic number, because the mean of its divisors is an integer number (45712755).

Almost surely, 2^5911764480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5911764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10971061200).

5911764480 is an abundant number, since it is smaller than the sum of its proper divisors (16030357920).

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

5911764480 is an equidigital number, since it uses as much as digits as its factorization.

5911764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 5911764480 is about 76887.9995838102. Note that the first 3 decimals coincide. The cubic root of 5911764480 is about 1808.1690916592.

The spelling of 5911764480 in words is "five billion, nine hundred eleven million, seven hundred sixty-four thousand, four hundred eighty".