6264145776 has 80 divisors (see below), whose sum is σ = 18542813184. Its totient is φ = 1785046272.

The previous prime is 6264145757. The next prime is 6264145781. The reversal of 6264145776 is 6775414626.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104350 + ... + 153026.

Almost surely, 2^6264145776 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 6264145776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9271406592).

6264145776 is an abundant number, since it is smaller than the sum of its proper divisors (12278667408).

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

6264145776 is a wasteful number, since it uses less digits than its factorization.

6264145776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49078 (or 49072 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 48.

The square root of 6264145776 is about 79146.3566817829. The cubic root of 6264145776 is about 1843.4043951108.

The spelling of 6264145776 in words is "six billion, two hundred sixty-four million, one hundred forty-five thousand, seven hundred seventy-six".